If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2),then the value of k is

If a+b+c=15 and 1a+1b+1c=71abc, then the a3+b3+c3-3abc is

Eight members of a club donate Rs. 100 each towards a Relief Fund and the President of the club donates Rs. 50 more than the average donation of all (including President) of them. Then the contribution of the president is

When n is divided by 4, the remainder is 3. The remainder when 2n is divided by 4 is:

If y=2secθ and x=3tanθ then x29-y24 is

Two circles touch each other internally. The radius of the larger circle is 6 cm and the distance between the centre is 2 cm, then the radius (in cms) of the other circle is

The vertical angle A of an isosceles triangle ΔABC is three times the angle B of it. The measure of the angle A is

If a2+1=9a, (a≠0) then the value of a2+1a2 is