Question Answers

If the points A (1, – 2), B (2, 3), C(a, 2) and D(- 4, – 3) form a parallelogram, then find the value of a and height of the parallelogram taking AB as base. – 3) form a parallelogram 2 2) and D(- 4 3% b=–2 Ca If the points A (1 then find [...]

The points A(x1, y1), B(x2 y2) and C(x3, y3) are the vertices of ΔABC. (iv ) What are the coordinates of the centroid of the ΔABC? B(x2 y2) and C(x3 The points A(x1 y1) y3) are the vertices of ΔABC. (iv ) What are the coordinates of the centroid of the ΔABC? November 23, 2020 [...]

The points A(x1, y1), B(x2 y2) and C(x3, y3) are the vertices of ΔABC. (iii) Find the coordinates of points Q and R on medians BE and CF, respectively such that BQ:QE = 2:1 and CR:RF = 2:1 B(x2 y2) and C(x3 respectively such that BQ:QE = 2:1 and CR:RF = 2:1 The points A(x1 [...]

The points A(x1, y1), B(x2 y2) and C(x3, y3) are the vertices of ΔABC. (ii) Find the coordinates of the point P on AD such that AP : PD = 2:1 B(x2 y2) and C(x3 The points A(x1 y1) y3) are the vertices of ΔABC. (ii) Find the coordinates of the point P on AD [...]

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 [...]