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Recent questions tagged 2003

Using binomial expansion,calculate the value of $(98)^{\large\frac{1}{2}}$ correct to three places of decimal.

asked Apr 22, 2013 by sreemathi.v

0 answers

Prove by the method of mathematical induction that $\large\frac{1}{4.7}+\frac{1}{7.10}+\frac{1}{10.13}+....+\frac{1}{(3n+1)(3n+4)}=\frac{n}{4(3n+4)}$,for all $n\in N$.

asked Apr 22, 2013 by sreemathi.v

0 answers

If : $\begin{bmatrix}x^2 & 3 & 4\\1 & 9 & 8\end{bmatrix}+\begin{bmatrix}-3x & 1 & -5\\-3 & -2 & -6\end{bmatrix}=\begin{bmatrix}4 & 4 & -1\\-2 & 7 & 2\end{bmatrix}$,find the values of $x$.

asked Apr 22, 2013 by sreemathi.v

0 answers

Evaluate : $\int_0^{\large\frac{\pi}{4}}\normalsize (\tan x+\cot x)^{-1}dx.$

asked Apr 22, 2013 by sreemathi.v

0 answers

Using vectors,show that the perpendiculars from the vertices to the opposite sides of the triangle ABC are concurrent.

asked Apr 22, 2013 by sreemathi.v

0 answers

Simplify : $(1-\omega)(1-{\omega}^2)(1-{\omega}^2)(1-{\omega}^3)$.

asked Apr 22, 2013 by sreemathi.v

0 answers

One number is chosen at random from the numbers 1 to 21.Find the probability that may be a prime number.

asked Apr 22, 2013 by sreemathi.v

0 answers

If $y=\tan^{-1}\bigg(\large\frac{2x}{1-x^2}\bigg)$,prove that $\large\frac{dy}{dx}=\frac{2}{1+x^2}$.

asked Apr 22, 2013 by sreemathi.v

0 answers

Find the cosine of the angle between the planes $x+2y-2z+6=0,2x+2y+z+8=0$.

asked Apr 22, 2013 by sreemathi.v

0 answers

The equation $y^2-4y-4x+16=0$ represents a parabola.Find its vertex and focus.

asked Apr 22, 2013 by sreemathi.v

0 answers

Find the angle between the straight lines represented by the equation $3x^2-y^2-\sqrt 3x+3y-2=0.$

asked Apr 22, 2013 by sreemathi.v

0 answers

Find the middle term in the binomial expansion of $\begin{pmatrix}\large\frac{x^2}{4}-\frac{4}{x^2}\end{pmatrix}^{10}$

asked Apr 19, 2013 by sreemathi.v

0 answers

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