For any two real numbers a and b.

a-b2+b-a2 is

The height of a tower is 50√3 m. The angle of elevation of a tower from a distance 50 m from its feet is

ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

The side BC of the ΔABC is extended to the point D. If ∠ ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B is

If x4+1x4=119,then the value of x-1x is

The value of -3+3+87+43 is

A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is

If a perfect square, not divisible by 6, be divided by 6, the remainder will be

If cos4θ-sin4θ=13 then the value of tan2θ is