Coordinate Geom...

The points A(- 4, - 1), B(- 2, - 4), C(4, 0) and D(2, 3) are the vertices of a

The points A(1, 3) and C(5, 1) are opposite vertices of a rectangle ABCD. If the slope of BD is 2, then its equation is:

To which quadrant does the point (1, -2) belong?

Find the value of k if the area of the triangle formed by (1, k), (4, - 3) and (- 9, 7) is 15 sq. units.

What would be the equation of one of the sides of an isosceles right-angled triangle, whose hypotenuse is 3x + 4y = 4 and the opposite vertex of the hypotenuse is (2, 2)?

If a, b and c are in A.P, through which fixed point will the straight line ax + 2by + c = 0 always pass?

What is the value of k, if (-3, 12), (7, 6) and (k, 9) are collinear?

In which quadrant does the point (1, 2) lie?

The line through the points (a, b) and (- a, - b) passes through the point

The points A(2a, 4a), B(2a, 6a) and C(2a +, 5a), where a > 0, are the vertices of

The four points P (0, 5), Q (- 2, - 2), R (5, 0) and S (7, 7) form a

If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are concurrent, then a, b and c are in

To which quadrant does the point (-1, -4) belong?

The coordinates of the point C, which divides the line segment joining the points A(2, 6) and B(5, 1) in the ratio of 2 : 3, is

Find the equation of the straight line passing through the point (-2, -3) and perpendicular to the line passing through points (-2, 3) and (-5, -6).

Find the area of ABC with A(3, 2), B(5, - 3) and C(6, - 4).

What is the ratio in which P (4, 6) divides the line joining A (-2, 3) and B (6, 7)?

On which axis does the point (-1, 0) lie?

The equation of the line which passes through the point (1, -2) and cuts-off equal intercepts on the axes is

The points A (7, 9), B (3, - 7) and C (- 3, 3) are the vertices of