Class X : HOTS Question Answers: Math Unit - 7 (CO-ORDINATE GEOMETRY)

CO-ORDINATE GEOMETRY

Find the points on the y axis whose distances from the points (6, 7) and (4,-3) are in the ratio 1:2

Determine the ratio in which the line 2x + y -4 = 0 divide the line segment joining the points A (2,-2) and B (3, 7).Also find the coordinates of the point of division

Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).

If the vertices of a triangle are (1, k), (4, -3), (-9, 7) and its area is 15 sq units, find the value (s) of k..    

The centre of a circle is (2x – 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units

If A & B are (-2,-2) and (2,-4) respectively, find the co ordinates of P such that    AP = AB and P lies on the line segment AB.

Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.

If A, B and P are the points (-4, 3), (0, -2) and (ab) respectively and P is equidistant from A and B, show that 8a - 10b + 21= 0

If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex

Find the centre of a circle passing through the points (6, -6), (3, -7) and (3, 3).Also find the radius.. .