Chapter 7 – Coordinate Geometry

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. – 9) and (2 1). Also find the coordinates of the point of division. Find the ratio in which the line [...]

Find the values of k, if the points A(k + 1, 2k), B(3k, 2k + 3) and C (5k – 1, 5k) are collinear. 2k 2k + 3) and C (5k – 1 5k) are collinear. B(3k Find the values of k if the points A(k + 1 November 23, 2020 Category: Chapter 7 - [...]

Find the coordinates of the point R on the line segment joining the points P(- 1, 3) and Q(2, 5) such that PR =3/5 PQ. 3) and Q(2 5) such that PR =3/5 PQ. Find the coordinates of the point R on the line segment joining the points P(- 1 November 23, 2020 Category: Chapter [...]

If D(-1/2, 5/2 ) E(7,3) and F(7/2, 7/2 ) are the mid-points of sides of ΔABC,then find the area of the ΔABC. 3) and F(7/2 5/2 ) E(7 7/2 ) are the mid-points of sides of ΔABC If D(-1/2 then find the area of the ΔABC. November 23, 2020 Category: Chapter 7 - Coordinate Geometry [...]

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. 1) is divided at the point P in the ratio 1 : 2 and it [...]

If the centre of a circle is (2a, a – 7), then Find the values of a, if the circle passes through the point (11, – 9) and has diameter 10√2 units. – 9) and has diameter 10√2 units. a – 7) If the centre of a circle is (2a if the circle passes through [...]

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. 4) and a – 2b= 18 6 B(k b) is the mid-point of the line segment joining the points A(10 If A [...]

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. -3) and B(8a – b) divides line segment joining A(3a + 1 5) in the ratio 3 : 1 If P(9a -2 then find the values [...]

Find the ratio in which the point P( 3/4 , 5/12 ) divides the line segment joining the points A( 1/2 ,3/2 ) and B(2,-5). 3/2 ) and B(2 5 5/12 ) divides the line segment joining the points A( 1/2 Find the ratio in which the point P( 3/4 November 23, 2020 Category: Chapter [...]

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. – 6) and (–1 7)? Find the coordinates of the points of division. In what ratio does the X-axis divide the line segment joining the points [...]