Maths

The points A(x1, y1), B(x2 y2) and C(x3, y3) are the vertices of ΔABC. (i) The median from A meets BC at D. Find the coordinates of the point D. B(x2 y2) and C(x3 The points A(x1 y1) y3) are the vertices of ΔABC. (i) The median from A meets BC at D. Find the [...]

A(6,1), B (8, 2) and C(9, 4) are three vertices of a parallelogram ABCD. If E is the mid-point of DC, then find the area of ΔADE. 1 2) and C(9 4) are three vertices of a parallelogram ABCD. If E is the mid-point of DC A(6 B (8 then find the area of ΔADE. [...]

If (- 4, 3) and (4, 3) are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that the origin lies in the interior of the triangle. 3) and (4 3) are two vertices of an equilateral triangle given that the origin lies in the interior of the triangle. [...]

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 [...]