Rectangular Car...

Two vertices of a triangle are (4,–3) and (–2,5). If the orthocentre of the triangle is at (1,2), then the third vertex is

If the points A(3,4) , B(7,7) , C(a,b) be collinear and AC = 10, then (a,b) =

The incentre of triangle formed by the lines x = 0, y = 0 and 3x + 4y = 12 is

If a vertex of a triangle is (1,1) and the mid points of two sides through this vertex are (–1,2) and (3,2), then the centroid of the triangle is

If the three points (3q,0), (0,3p) and (1,1) are collinear, then which one is true

Without changing the direction of co-ordinate axes, origin is transferred to (h,k), so that the linear (one degree) terms in the equation x² + y² – 4x + 6y – 7 = 0 are eliminated. Then the point (h,k) is

The equation of the locus of a point whose distance from (a,0) is equal to its distance from y-axis is

Two points A and B have co-ordinates (1,0) and (–1,0) respectively and Q is a point which satisfies the relation AQ – BQ = ±1. The locus of Q is