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Recent questions tagged q66

The lengths of tangent, subtangent, normal and subnormal for the curve $y=x^2+x-1$ at $(1,1)$ are A,B,C and D respectively then their increasing order is

asked Oct 28, 2013 by meena.p

1 answer

Match the following

asked Oct 18, 2013 by thanvigandhi_1

1 answer

The equation to the normal to the curve $y^4=ax^3$ at $(a,a)$ is

asked Oct 17, 2013 by meena.p

1 answer

$x= \cos ^{-1} \bigg(\large\frac{1}{\sqrt {1+t^2}}\bigg),$$y= \sin ^{-1} \bigg(\large\frac{t}{\sqrt {1+t^2}}\bigg)=>\frac{dy}{dx}=$

asked Oct 10, 2013 by meena.p

1 answer

The maximum value of $3\cos\theta+4\sin\theta$ is

asked Oct 10, 2013 by sreemathi.v

1 answer

Identify the two small apertures present in the auditory capsule of rabbit

asked Oct 6, 2013 by thanvigandhi_1

1 answer

$y= \cos ^{-1}\bigg[\large\frac{a^2-x^2}{a^2+x^2}\bigg]+ \sin ^{-1} \bigg[\large\frac{2ax}{a^2+x^2}\bigg]=>\frac{dy}{dx}=$

asked Sep 27, 2013 by meena.p

1 answer

If $s$ and $p$ are respectively the sum and the product of the slope of the lines $3x^2-2xy-15y^2=0,$ then $s:p=$

asked Sep 23, 2013 by meena.p

1 answer

$\sqrt {\large\frac{y}{x}}+\sqrt {\large\frac{x}{y}}$$=2=>\large\frac{dy}{dx}=$

asked Sep 16, 2013 by meena.p

1 answer

Two bodies of mass $10^2 kg$ and $10^3kg$ are lying 1m apart. The gravitational potential at mid point of line joining them is

asked Aug 23, 2013 by meena.p

1 answer

A block of mass m is being pulled up a rough inclined by an agent delevering constant power P. The coefficient of friction between block and incline is $\mu$. The maximum speed of the block during the course of ascent is

asked Aug 6, 2013 by meena.p

1 answer

Ten one rupee coins are put on top of each other on a table. Each coin has mass 'm' kg. What is the reaction of 6th coin counted from bottom on the 7th coin counted from bottom

asked Jul 11, 2013 by meena.p

1 answer

A point moves in $X-Y$ plane according to $X=4 \sin \;6t $ and $Y=4(1-\cos \;6t)$.The distance traversed by the particle in 4 seconds is (x and y are in meters)

asked Jun 29, 2013 by meena.p

1 answer

The value of $ \int\limits_{0}^{\pi}\sin^{2}x\cos^{3}x dx$ is

asked May 22, 2013 by poojasapani_1

1 answer

The polar form of the complex number $(i^{25})^{3}$ is

asked May 12, 2013 by poojasapani_1

1 answer

Evaluate:\[\int _0 ^{3/2} |x\cos \pi x|dx\]

asked Feb 3, 2013 by meena.p

0 answers

Show that $ f(x)=3x^5+40x^3+240x$ is always increasing on R.

asked Jan 29, 2013 by meena.p

0 answers

The solution of $\large\frac{dy}{dx}$$+y=e^{-x},y(0)=0$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

Verify the Rolle's theorem for the function $f(x)=\sin^4x+\cos^4x\;in\;\begin{bmatrix}0,\large\frac{\pi}{2}\end{bmatrix}$

asked Jan 2, 2013 by sreemathi.v

1 answer

On using elementary column operations $C_2\times C_2-2C_1$ in the following matrix equation\[\begin{bmatrix}1 & 3\\2 & 4\end{bmatrix}=\begin{bmatrix}1 & 1\\0 & 1\end{bmatrix}\begin{bmatrix}3 & 1\\2 & 4\end{bmatrix}, \text{we have}\]

asked Dec 24, 2012 by sreemathi.v

1 answer

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