{"id":1797,"date":"2026-05-20T08:03:09","date_gmt":"2026-05-20T08:03:09","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1797"},"modified":"2026-05-20T08:48:04","modified_gmt":"2026-05-20T08:48:04","slug":"class-9-maths-exercise-1-1-solutions-coordinate-geometry-ncert-solutions","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/class-9-maths-exercise-1-1-solutions-coordinate-geometry-ncert-solutions\/","title":{"rendered":"Class 9 Maths Exercise 1.1 Solutions | Coordinate Geometry NCERT Solutions"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Short Intro<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">In this post, students can find complete step-by-step solutions for Class 9 Maths Chapter 1 Exercise 1.1 \u2013 Orienting Yourself: The Use of Coordinates. All questions are solved in simple language with proper explanations based on the latest NCERT syllabus to help students understand coordinate geometry easily.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Item<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Board<\/td><td>NCERT \/ CBSE<\/td><\/tr><tr><td>Class<\/td><td>9<\/td><\/tr><tr><td>Subject<\/td><td>Maths<\/td><\/tr><tr><td>Chapter<\/td><td>Coordinate Geometry<\/td><\/tr><tr><td>Exercise<\/td><td>1.1<\/td><\/tr><tr><td>Topic<\/td><td>Cartesian Coordinate System<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cartesian Coordinate Plane<\/li>\n\n\n\n<li>x-axis and y-axis<\/li>\n\n\n\n<li>Coordinates of a Point<\/li>\n\n\n\n<li>Origin<\/li>\n\n\n\n<li>Positive and Negative Directions<\/li>\n\n\n\n<li>Distance on Coordinate Plane<\/li>\n\n\n\n<li>Practical Applications of Coordinates<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The exercise introduces the coordinate system and coordinates of points on the plane.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Coordinates of Origin<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>O = (0, 0)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Point on x-axis<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>(x, 0)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Point on y-axis<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>(0, y)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Distance Formula<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msqrt><mrow><mo stretchy=\"false\">(<\/mo><msub><mi>x<\/mi><mn>2<\/mn><\/msub><mo>\u2212<\/mo><msub><mi>x<\/mi><mn>1<\/mn><\/msub><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><mo>+<\/mo><mo stretchy=\"false\">(<\/mo><msub><mi>y<\/mi><mn>2<\/mn><\/msub><mo>\u2212<\/mo><msub><mi>y<\/mi><mn>1<\/mn><\/msub><msup><mo stretchy=\"false\">)<\/mo><mn>2<\/mn><\/msup><\/mrow><\/msqrt><\/mrow><annotation encoding=\"application\/x-tex\">\\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-step Solutions<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Following Figure shows Reiaan\u2019s room with points OABC marking its corners. The<br>x- and y-axes are marked in the figure. Point O is the origin.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"898\" height=\"682\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-1.png\" alt=\"image\" class=\"wp-image-1806\" title=\"Class 9 Maths Exercise 1.1 Solutions | Coordinate Geometry NCERT Solutions\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-1.png 898w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-1-300x228.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-1-768x583.png 768w\" sizes=\"(max-width: 898px) 100vw, 898px\" \/><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">If D\u2081R\u2081 represents the door to Reiaan\u2019s room:<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">(i) How far is the door from the left wall (y-axis)? How far is the door from the x-axis?<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">From Fig. 1.3, the door lies on the x-axis.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Distance from y-axis = 10 units<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>Distance from x-axis = 0 units<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">(ii) What are the coordinates of D\u2081?<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">From the figure:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>D\u2081 = (10, 0)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">(iii) If R\u2081 is the point (11.5, 0), how wide is the door?<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Width of door:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>= 11.5 \u2212 10<br>= 1.5 units<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Door width = 1.5 ft<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">This is comfortable for normal use but may be narrow for wheelchair access.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">(iv) If B\u2081 (0, 1.5) and B\u2082 (0, 4) represent bathroom door ends, is bathroom door narrower or wider?<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Bathroom door width:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>= 4 \u2212 1.5<br>= 2.5 units<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bathroom door is wider.<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Question 2<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Are school doors suitable for wheelchairs?<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Modern accessibility standards recommend wider doors for wheelchair users. Schools should ideally have ramps and wide doors for easy movement.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Important Observation<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Coordinates Rule<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>A point on x-axis has y-coordinate = 0<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>A point on y-axis has x-coordinate = 0<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Interchanging x-coordinate and y-coordinate<\/li>\n\n\n\n<li>Forgetting sign conventions<\/li>\n\n\n\n<li>Confusing axes<\/li>\n\n\n\n<li>Incorrect distance calculation<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always write coordinates in form (x, y).<\/li>\n\n\n\n<li>x-coordinate is written first.<\/li>\n\n\n\n<li>Learn positive and negative directions properly.<\/li>\n\n\n\n<li>Practice plotting points regularly.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Coordinates of origin are:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. (1, 0)<br>B. (0, 1)<br>C. (0, 0)<br>D. (1, 1)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C. (0, 0)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A point on x-axis has:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. x = 0<br>B. y = 0<br>C. x = y<br>D. None<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. y = 0<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The coordinate plane is divided into:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. 2 quadrants<br>B. 3 quadrants<br>C. 4 quadrants<br>D. 5 quadrants<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C. 4 quadrants<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 4<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The horizontal axis is called:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. y-axis<br>B. origin<br>C. x-axis<br>D. quadrant<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C. x-axis<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">What is the origin in coordinate geometry?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The point where x-axis and y-axis intersect is called the origin.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">What are coordinates of origin?<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>(0, 0)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">What is the x-axis?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The horizontal axis is called the x-axis.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Why is Exercise 1.1 important?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">It forms the foundation of coordinate geometry used in higher mathematics.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udcd8 Improve Your Maths Preparation with MyMockMate!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 Practice Chapter-wise Mock Tests<br>\u2705 Solve Important MCQs<br>\u2705 Download Notes PDF<br>\u2705 Get Instant Performance Analysis<br>\u2705 Prepare Smarter for Board Exams<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Start learning now on <a target=\"_blank\" rel=\"noreferrer noopener\" href=\"https:\/\/www.mymockmate.com?utm_source=chatgpt.com\">MyMockMate<\/a><\/p>\n\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"<p>Short Intro In this post, students can find complete step-by-step solutions for Class 9 Maths Chapter 1 Exercise<\/p>\n","protected":false},"author":1,"featured_media":1798,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_angie_page":false,"_surecart_dashboard_logo_width":"180px","_surecart_dashboard_show_logo":true,"_surecart_dashboard_navigation_orders":true,"_surecart_dashboard_navigation_invoices":true,"_surecart_dashboard_navigation_subscriptions":true,"_surecart_dashboard_navigation_downloads":true,"_surecart_dashboard_navigation_billing":true,"_surecart_dashboard_navigation_account":true,"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"page_builder":"","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4,11,127],"tags":[141,139,151,136,145,137,140,152,144,148,143,146,138,89,150,53,47,147,149,142],"class_list":["post-1797","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-9","category-maths-class-9","category-orienting-yourself-the-use-of-coordinates","tag-cartesian-plane","tag-cbse-class-9-maths","tag-class-9-coordinate-geometry-solutions","tag-class-9-maths","tag-class-9-maths-chapter-1","tag-coordinate-geometry","tag-coordinate-geometry-chapter-1","tag-coordinate-geometry-exercise-1-1","tag-coordinate-geometry-questions-answers","tag-coordinate-system","tag-coordinates-of-a-point","tag-exercise-1-1-ncert-solutions","tag-exercise-1-1-solutions","tag-maths-board-exam-preparation","tag-maths-coordinate-geometry-notes","tag-ncert-maths-solutions","tag-ncert-solutions","tag-origin-in-coordinate-geometry","tag-plotting-points","tag-x-axis-and-y-axis"],"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1797","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=1797"}],"version-history":[{"count":2,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1797\/revisions"}],"predecessor-version":[{"id":1807,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1797\/revisions\/1807"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1798"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1797"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1797"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}