If $${8+2\sqrt{3} \over 3\sqrt{3}+5}=a\sqrt{3}-b$$, then the value of a+b is equal to:

In a triangle, ABC, P and Q are points on AB and AC, respectively, such that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, and CQ = 45 cm. If the area of ΔAPQ is 12 $${{cm^2}}$$, then find the area of BPQC.

$${sin^2θ\over cosθ(1+cosθ)}+{1+cosθ\over cosθ} =?$$

In △ABC, right angle at B, if   $$tan\ A={1\over 2}$$, then the value of $$sinA(cosC+cosA)\over cosC(sin C-sinA)$$ is :

  $$25\% \ of (50\% \ of \ 30\% \ of \ 150)\over 40\% of \ 2250$$ is equal to:

A loan is to be returned in two equal yearly instalments. If the rate of interest is 10% p.a., compounded annually, and each instalment is ₹5,808, then the total interest charged in this scheme is:

The base of a right pyramid is an equilateral triangle with side 8 cm, and its height is 30 √3 cm. The volume (in cm3) of the pyramid is:

In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is: