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Recent questions tagged q4-a

A card is selected from a pack of 52 cards.How many points are there in the sample space ?

asked Jun 30, 2014 by sreemathi.v

1 answer

If pairs of straight lines $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other pair,prove that $pq=-1$.

asked Apr 22, 2013 by sreemathi.v

0 answers

Find the radius of the circular section of the sphere $x^2+y^2+z^2=49$ cut by a plane $2x+3y-z-5\sqrt{14}=0.$

asked Apr 18, 2013 by sreemathi.v

0 answers

Prove that : $\cot \begin{pmatrix}\large\frac{\pi}{4}\normalsize -2\cot^{-1}3\end{pmatrix}=7.$

asked Apr 17, 2013 by sreemathi.v

0 answers

Show that : $\sin^{-1}\bigg(\large\frac{1}{\sqrt {17}}\bigg)\normalsize+\cos^{-1}\bigg(\large\frac{9}{\sqrt{85}}\bigg)\normalsize=\tan^{-1}\bigg(\large\frac{1}{2}\bigg).$

asked Apr 16, 2013 by sreemathi.v

0 answers

Prove that : $2\tan^{-1}\bigg(\large\frac{1}{3}\bigg)\normalsize +\cot ^{-1}(4)=\tan^{-1}\bigg(\large\frac{16}{13}\bigg).$

asked Apr 16, 2013 by sreemathi.v

0 answers

Solve for x : $\tan^{-1}(x-1)+\tan^{-1}x+\tan^{-1}(x+1)=\tan^{-1}3x.$

asked Apr 15, 2013 by sreemathi.v

0 answers

If $\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=\pi,$prove that : $x^2-y^2-z^2+2yz\sqrt{1-x^2}=0.$

asked Apr 12, 2013 by sreemathi.v

0 answers

Prove that : $\sin\begin{bmatrix}2 \tan^{-1}\frac{3}{5}-\sin^{-1}\frac{7}{25}\end{bmatrix}=\large\frac{304}{425}$

asked Apr 12, 2013 by sreemathi.v

0 answers

Verify Lagrange's mean value theorem for the function $f(x)=\sin x-sin 2x$ in the interval [0,$\pi$].

asked Apr 11, 2013 by sreemathi.v

0 answers

Verify Rolle's theorem for the function : $f(x)=log\left \{\Large \frac{x^2+ab}{(a+b)+x}\right\}$ in the interval [a,b] where,$0 \notin [a,b]$.

asked Apr 10, 2013 by sreemathi.v

0 answers

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(a)\; 2x + 3y + 4z -12 = 0$

asked Dec 15, 2012 by thanvigandhi_1

1 answer

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