Mathematics

ABCD is a rhombus such that ∠ACB = 40°, then ∠ADB is (a) 40° (b) 45° (c) 50° (d) 60°

An isosceles right triangle has area 8 cm2. The length of its hypotenuse is(a) √32 cm                       (b) √16 cm                      (c) √48 cm                    (d) √24

If the mth term of an A.P. be 1/n and nth term be 1/m, then show that its (mn)th term is 1.

If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is the negative of the other, then it(a) has no linear term and the constant term is negative

The ratio of the sum of n terms of two A.P.s is (7n+1):(4n+27).Find the ratio of their mth term.

Use euclid division algorithm to find the HCF of 867 and 255.

Find the point on Y-axis which is equidistant from the points (5,-2) and (-3,2)?

Two tangents TP and TQ are drawn to a circle with center O from an external point T. Prove that angle PTQ = 2 OPQ.

The three vertices of a parallelogram taken in order are (-1, 0), (3, 1) and (2, 2) respectively. Find the coordinates of the fourth vertex.

tanA + secA -1 / tanA – secA + 1=1+sinA / cosA