If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

How many diagonals are there in octagon?

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

In the given figure, PQRS is a square and SRT is an equilateral triangle. What is the value (in degrees) of angle SOR?

If(x + y)2 = xy + 1 and x3 – y3 = 1, then what is the value of x – y?

If (5x – y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 – 4xy)/(9x2 + 16y2 + 24xy) ?

If 2x + (9/x) = 9, then what is the minimum value of x2+1x2 = ?