AD is the median of triangle ABC with vertices A (- 3, 2), B (5, - 2) and C (1, 3) The area of triangle ABD is ___________

The area of the triangle whose vertices are (2, - 3), (3, 2) and (- 2, 5) is ___________

The angle of elevation of a cloud from a point h metres above a lake is b. The angle of depression of its reflection in the lake is 45^o. The height of location of the cloud from the lake is ___________

The lines y = 5x - 3, y = 2x + 9 intersect at A. The coordinates of A are ___________

The y-intercept of the line 3x - 4y + 8 = 0 is ___________

In a right angle triangle, right angled at B, if the side BC is parallel to x axis, then the slope of AB is ___________

Find the equation of the line passing through the point (0, 4) and is parallel to 3x+5y+15 = 0 the line is ___________

A line passing through the point (2, 2) and the axes enclose an area ∝. The intercept on the axes made by the line are given by the roots of ____________

Find the value of 'a' if the lines 7y = ax + 4 and 2y = 3 - x are parallel

Find the slope and the y-intercept of the line \(3y-\sqrt { 3x } +1=0\) is ____________

The four vertices of a quadrilateral are (1, 2), (5, -6), (7, -4) and (k, -2) taken in order. If the area of quadrilateral is zero then find the value of k.

The area of triangle formed by the points (a, b+c), (b, c+a) and (c, a+b) is ____________

If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________

If the points (0, 0), (a, 0) and (0, b) are collinear, then ____________

Find the ratio in which the line segment joining the points (-3, 10) and (6,-8) is internally divided by (-1, 6) ____________