Here you get the CBSE Class 10 Mathematics chapter 7, Coordinate Geometry: NCERT Exemplar Problems and Solutions (Part-IIIB). This part of the chapter includes solutions of Question Number 7 to 14 from Exercise 7.3 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Coordinate Geometry. Each question is provided with a detailed but simple solution.
NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.
Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Coordinate Geometry:
Short Answer Type Questions (Q. No. 8-14)
Question. 8 If the point A (2, - 4) is equidistant from P (3, 8) and Q (-10, y), then find the value of y. Also, find distance PQ.
Given, A (2, -4) is equidistant from P (3, 8) and Q(-10, y)
⟹ PA = QA ….(i)
Since distance between two points (x1, y1) and (x2, y2) is given as,
Question. 9 Find the area of the triangle whose vertices are (-8, 4), (-6, 6) and (-3, 9)
Question. 10 In what ratio does the X-axis divide the line segment joining the points (- 4, - 6) and (- 1, 7)? Find the coordinates of the points of division..
Question. 12 If P (9a -2, -b) divides line segment joining A(3a + 1, -3) and B(8a, 5) in the ratio 3:1, then find the values of a and b.
Given, P (9a -2, -b) divides AB internally in the ratio 3:1.
Question. 13 If (a, b) is the mid-point of the line segment joining the points A (10, -6), B (k, 4) and a -2b = 18, then find the value of k and the distance AB.
Given, (a, b) is the mid-point of line segment AB.
And, a -2b = 18 ….(i)
As, mid-point of a line segment joining points