For any two real numbers a and b.

a-b2+b-a2 is

A starts a business, after 6 months B also join him with Rs.4500 and after 2 months of B’s joining C also join them with Rs.4500. If A gets approx. Rs 4900 out of total annual profit of Rs. 10,000 then find the approximate value of initial investment of A.

The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is :

If the angle of elevation of the top of a pillar from the ground level is raised from 30° to 60°, the length of the shadow of a pillar of height 503 will be decreased by

The difference between the compound interest and the simple interest on Rs. 6250 at 8% per annum in 2 years is

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

The sum of two angles of a triangle is 116o and their difference is 24o . The measure of smallest angle of the triangle is

If {12(a-b)}2+ab=p(a+b)2, then the value of p is