If sin P + cosec P = 2, then the value of sin7 P + cosec7P is
If cosx.cosy + sinx.siny = -1 then cosx + cosy 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