If cosθ = x2-y2x2+y2, then the value of cotθ is

The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is

If cosx.cosy + sinx.siny = -1 then cosx + cosy is

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

If secA + tanA = a, then the value of cosA is

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is

Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ΔAOB and ΔCOD is