In this artice you will get the class 10 Mathematics NCERT Exemplar Problems and Solutions (Part-IIIC) for chapter 7, Coordinate Geometry. This part is in continuation with Part-IIIB and contains solutions to Q. No. 15-20 from exercise 7.3 of class 10 Maths Exampler for chapter Coordinate Geometry.
Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Coordinate Geometry:
Exercise 7.3
Short Answer Type Questions (Q. No. 15-20)
Question. 15 The line segment joining the points A(3, 2) and B(5, 1) is divided at the point P in the ratio 1 : 2 and it lies on the line 3x -18y + k = 0. Find the value of k.
Solution:
Question. 17 If the points A (2, 9), B (a, 5) and C (5, 5) are the vertices of a ΔABC right angled at B, then find the values of a and hence the area of ΔABC.
Solution:
As, the points A (2, 9), B (a, 5) and C (5, 5) are the vertices of a ΔABC right angled at B.
By distance formula,
Question. 19 Find the values of k, if the points A (k + 1, 2k), B (3k, 2k + 3) and C (5k − 1, 5k) are collinear.
Solution:
If three points are collinear, then the area of triangle formed by these points is zero.
Since, the points A (k + 1,2k), B (3k, 2k + 3) and C (5k - 1, 5k) are collinear, therefore area of ΔABC = 0
Question. 20 Find the ratio in which the line 2x+ 3y -5 = 0 divides the line segment joining the points (8, -9) and (2, 1). Also, find the coordinates of the point of division.
Solution:
Let the line 2x + 3y -5 = 0 divides the line segment joining the points A (8, -9) and B (2, 1) in the ratio l : 1 at point P.
