Find the area of triangle PQR formed by the points P(-5,7), Q(-4,-5) and R(4,5)

OR

If the point C(-1,2) divides internally the line segment joining A(2,5) and B(x, y) in the ratio 3: 4, find the coordinates of B.

A cone of base radius 4 cm is divided into two parts by drawing a plane through the mid-points of its height and parallel to its base. Compare the volume of the two parts.

In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then prove that the angle opposite to the first side is a right angle.

Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial f(x)=a x²+bx + c, a ≠ 0, c ≠ 0

OR

Divide the polynomial f(x)=3 x²-x³-3 x+5 by the polynomial g(x)=x-1-x² and verify the division algorithm.

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are given by 2 y-x=8,5 y-x=14 and y-2 x=1

OR

If 4 is a zero of the cubic polynomial x³-3 x²-10 x+24, find its other two zeroes.