Recent questions tagged jeemain

$\{ x \in \Re : \cos 2x+ 2 \cos ^2 x =2 \}=$

asked Oct 17, 2013 by meena.p

1 answer

If $\alpha +\beta+\gamma= 2\theta$, then $cos \theta+ \cos (\theta- \alpha)+ \cos (\theta- \beta)+ \cos (\theta- \gamma)=$

asked Oct 17, 2013 by meena.p

1 answer

The solution set of the system of equational $x+y=\large\frac{2\pi}{3}$$,\cos x+\cos y=\large\frac{3}{2}$ where $x$ and $y$ are real is

asked Oct 17, 2013 by sreemathi.v

1 answer

In a circle of diameter 50cm,the length of a chord is 25cm.Find the length of the minor arc of the chord.

asked Oct 17, 2013 by sreemathi.v

1 answer

$\tan 5^{\large\circ}$ is a

asked Oct 17, 2013 by sreemathi.v

1 answer

If $\tan \theta + \tan \bigg(\theta +\large\frac{\pi}{3}\bigg)$$+\tan \bigg(\theta +\large\frac{2 \pi}{3}\bigg)$$=3$,then which of the following is equal to 1?

asked Oct 17, 2013 by meena.p

0 answers

If $A=35^{\circ},B=15^{\circ}$ and $C=40^{\circ}$, then $tan A. \tan B+\tan B. \tan C+\tan C. \tan A=$

asked Oct 17, 2013 by meena.p

1 answer

If $\pi < \theta < \large\frac{3\pi}{2}$ the expression $\sqrt{4\sin^4\theta+\sin^22\theta}+4\cos^2\big(\large\frac{\pi}{4}-\frac{\theta}{2}\big)$ is equal to

asked Oct 17, 2013 by sreemathi.v

1 answer

$\sqrt 2 - cosec20^{\circ}- \sec 20^{\circ}=$

asked Oct 17, 2013 by meena.p

1 answer

If $m_1,m_2,m_3$ and $m_4$ respectively denote the moduli of the complex numbers $1+4 i,3+i,1-i,$ and $2-3i,$ then the correct one, among the following is

asked Oct 17, 2013 by meena.p

1 answer

If $p=\cos 55^{\large\circ},q=\cos 65^{\large\circ}$ and $r=\cos 175^{\large\circ}$ then the value of $\large\frac{1}{p}+\frac{1}{q}+\frac{r}{pq}$ is

asked Oct 17, 2013 by sreemathi.v

1 answer

If $\Omega$ is a complex cube root of unity, then $\sin\bigg\{(\omega ^{10}+ \omega^{23}) \pi -\large \frac{\pi}{4}\bigg\}=$

asked Oct 17, 2013 by meena.p

1 answer

The points in the set $\bigg\{z \in C: Arg \bigg(\large\frac{Z-2}{Z-6i}\bigg)-\frac{\pi}{2}\bigg\}$ lie on the curve which is (Where C denotes the set of all complex numbers )

asked Oct 17, 2013 by meena.p

1 answer

$\begin {bmatrix} a-b-c & 2a & 2a \\ 2b & b-c-a & 2b \\ 2c & 2c & c-a-b \end{bmatrix}$

asked Oct 17, 2013 by meena.p

1 answer

Evaluate : $\sin^{-1}\large\frac{4}{5}$$+\sin^{-1}\large\frac{5}{13}$$+\sin^{-1}\large\frac{16}{65}$

asked Oct 17, 2013 by sreemathi.v

1 answer

The inverse of the matrix $\begin {bmatrix} 7 & -3 & -3 \\ -1 & 1 & 0 \\ -1 & 0 & 1 \end{bmatrix} $ is :

asked Oct 17, 2013 by meena.p

1 answer

If $A=\begin {bmatrix} 1 & -2 \\ 4 & 5 \end{bmatrix}$ and $f(t)=t^2-3t+7$, then $f(A)+ \begin {bmatrix} 3 & 6 \\ 12 & -9 \end{bmatrix} = $

asked Oct 17, 2013 by meena.p

0 answers

Find the value of $\tan\big[\large\frac{1}{2}$$\big(\sin^{-1}\large\frac{2x}{1+x^2}+$$\cos^{-1}\large\frac{1-y^2}{1+y^2}\big)\big],$$\mid x\mid < 1,y > 0$ and $xy <1$

asked Oct 17, 2013 by sreemathi.v

1 answer

The sum of the fourth powers of the of the equation $x^3+x+1=0$ is

asked Oct 17, 2013 by meena.p

1 answer

Evaluate : $\tan\big[\large\frac{1}{2}$$\cos^{-1}\large\frac{\sqrt 5}{3}\big]$

asked Oct 17, 2013 by sreemathi.v

1 answer

The cubic equation whose roots are thrice to each of the roots of $x^3+2x^2-4x+1=0$ is

asked Oct 16, 2013 by meena.p

1 answer

If $ \alpha+\beta=-2$ and $\alpha^3+\beta^3=-56$, then the quadratic equation whose roots are $\alpha$ and $\beta$ is

asked Oct 16, 2013 by meena.p

1 answer

Let $\alpha$ and $\beta$ be the roots of the quadratic equation $ax^2+bx+c=0$. Observe the lists given below:

asked Oct 16, 2013 by meena.p

1 answer

$\large\frac{1}{1.3}+\frac{1}{2.5}+\frac{1}{3.7}+\frac{1}{4.9}+....=$

asked Oct 16, 2013 by meena.p

1 answer

$\sum\limits _{k=1} ^{\infty}$ $\large\frac{1}{k !} \bigg(\sum \limits _{n=1}^k 2^{n-1} \bigg)=$

asked Oct 16, 2013 by meena.p

1 answer

If $\large\frac{x^2+x+1}{x^2+2x+1}$$=A+\large\frac{B}{x+1}+\frac{C}{(x+1)^2}$ then $A-B=$

asked Oct 16, 2013 by meena.p

1 answer

If $\alpha=\large\frac{5}{2 ! 3}+\frac{5.7}{3 ! 3^2}+ \frac{5.7.9}{4 ! 3^3}+........,$ then $ \alpha^2+4 \alpha=$

asked Oct 16, 2013 by meena.p

1 answer

If $(1+x+x^2+x^3)^5= \sum \limits_{k=0} ^{15} a_k x^k$ then $ \sum \limits_{k=0}^7 a_{2k}=$

asked Oct 16, 2013 by meena.p

1 answer