ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?

Priya purchased two mixers for Rs.1500 and made a profit of 9% on one and loss of 6% on the other. But overall there is no profit or loss, then cost price of mixture are in the ratio?

The value of $$ {tan\ 40°+tan\ 20° +\sqrt{3}\ tan20° tan40°}$$?

If $$ {Acos^{2}θ+Bsin^{2}θ}={sin^{2}θ(sec^{2}θ+1)\over{sec^{2}θ-1}}$$ and cotθ=?

If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

Four years ago, the age ratio of A and B was 2: 3 and after four years this ratio will be 5: 7. What is his present age?

A crosses a rectangular field at a speed of 52 m / min along its diagonal in 15 seconds and B crosses the ground at the same time by walking at a speed of 68 m / min along its arms. The area of the field is

If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?