Mathematics Tes...

Suppose a, b, c are in AP and $a^2{b}^2{c}^2$ are in GP. If a < b < c &$a+b+c=\frac{3}{2}$, then the value of a is

Sum of n terms of series 12+16+24+40+..........will be

If a,b,c are three unit vectors such that \(\overrightarrow{\mathrm{a}} \times(\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}})=\frac{1}{2} \overrightarrow{\mathrm{b}}\)and b is not parallel to c, then the angle between a and c is:

The projection of the line joining the points (3,4,5)and (4,6,3)on the line joining the points (-1,2,4)and (1,0,5)is

In how many ways seven different books be distributed to two persons if each person receives at least one book?

The equation \(|z-\omega|^{2}+\left|z-\omega^{2}\right|^{2}=\lambda,\) represents the equation of a circle with \(\omega, \omega^{2}\) as extremities of a diameter, then \(\lambda\) is, (where \(\omega, \omega^{2}\) are cube roots of unity)

If \(\log _{2}\left(4^{x+1}+4\right) \log _{2}\left(4^{x}+1\right)=\log _{2} 8,\) then \(x\) equals

If \(x=a(\theta-\sin \theta) \& y=a(1-\cos \theta),\) then the value of