Recent questions tagged jeemain

$z=\tan (y+ax)+\sqrt {y-ax}=> z_{xx}-a^2z_{yy}=$

asked Oct 10, 2013 by meena.p

1 answer

The maximum value of $\large\frac{\log x}{x}$$,0 < x < \infty$ is :

asked Oct 10, 2013 by meena.p

1 answer

If $\large\frac{2\sin\alpha}{1+\cos\alpha+\sin\alpha}$$=x$ then $\large\frac{1-\cos\alpha+\sin\alpha}{1+\sin\alpha}$=?

asked Oct 10, 2013 by sreemathi.v

1 answer

Which of the following number is/are rational?

asked Oct 10, 2013 by sreemathi.v

1 answer

Let $\theta\in \big(0,\large\frac{\pi}{4}\big)$ and $t_1=(\tan\theta)^{\large\tan\theta}$,$t_2=(\tan\theta)^{\large\cot\theta}$,$t_3=(\cot\theta)^{\large\tan\theta},t_4=(\cot\theta)^{\large \cot\theta}$ then

asked Oct 10, 2013 by sreemathi.v

1 answer

The function $f(x) =x^3+ax^2+bx+x, a^2 \leq 3b$ has:

asked Oct 10, 2013 by meena.p

1 answer

There is an error of $\pm 0.04\;cm$ in the measurement of the diameter of a sphere. When the radius is $10\;cm$, the percentage error in the volume of the sphere is :

asked Oct 10, 2013 by meena.p

1 answer

$y=e^{a \sin ^{-1}x}=>(1-x^2)y_{n+2}-(2n+1)xy_{n+1}=$

asked Oct 10, 2013 by meena.p

1 answer

$\large\frac{d}{dx}$$ \bigg[a \tan ^{-1} + b \log \bigg(\large\frac{x-1}{x+1}\bigg)\bigg]=\frac{1}{x^4-1}$$=>a-2b=$

asked Oct 10, 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

$x= \large\frac{1-\sqrt y}{1+\sqrt y}=>\large\frac{dy}{dx}=$

asked Oct 10, 2013 by meena.p

0 answers

The number of solutions of the pair of equations $2\sin^2\theta-\cos 2\theta=0,2\cos^2\theta-3\sin\theta=0$.In the interval $[0,2\pi]$ is

asked Oct 10, 2013 by sreemathi.v

1 answer

If $f:R \to R$ is defined by $f(x) = \left\{ \begin{array}{l l} \frac{2 sin x-\sin 2x}{2x \cos x}, & \quad if \;x \neq 0 \\ a, & \quad if \; x =0 \end{array} \right. $ then the value of $a$ so that f is continuous at 0 is :

asked Oct 10, 2013 by meena.p

1 answer

$\lim \limits _{x \to \infty} \bigg(\large\frac{x+5}{x+2}\bigg)^{x+3}=$

asked Oct 10, 2013 by meena.p

1 answer

In $\Delta ABC$ if $\large\frac{1}{b+c}+\frac{1}{c+a}=\frac{3}{a+b+c}$ then $c$ is equal to

asked Oct 10, 2013 by sreemathi.v

1 answer

The radius of the sphere $x^2+y^2+z^2=12 x +4y+3z$ is :

asked Oct 10, 2013 by meena.p

1 answer

The image of the point $(3,2,1)$ in the plane $2x-y+3z=7$ is :

asked Oct 10, 2013 by meena.p

1 answer

In a $\Delta$le ABC let $\angle C=\large\frac{\pi}{2}$ if $r$ is the radius and R is the circumference of the $\Delta$le ABC then $2(r+R)$ equals

asked Oct 10, 2013 by sreemathi.v

1 answer

If a line in the space makes angles $\alpha, \beta$ and $\gamma$ with the coordinate axes, then $ \cos 2 \alpha+ \cos 2 \beta+\cos 2 \gamma +\sin ^2 \alpha +\sin ^2 \beta+\sin ^2 \gamma=$

asked Oct 10, 2013 by meena.p

1 answer

The perimeter of the triangle with vertices at $(1,0,0),(0,1,0)$ and $(0,0,1)$ is :

asked Oct 10, 2013 by meena.p

1 answer

The eccentricity of the conic $\large\frac{5}{r}$$=2 + 3 \cos \theta+ 4 \sin \theta$ is :

asked Oct 10, 2013 by meena.p

1 answer

If the angles $A,B,C$ of a $\Delta$le are in arithmetic progression and if $a,b$ and $c$ denote the lengths of the sides opposite to $A,B$ and $C$ respectively,then the value of the expression $\large\frac{a}{c}$$\sin 2C+\large\frac{c}{a}$$\sin 2A$ is

asked Oct 10, 2013 by sreemathi.v

1 answer

The mid point of the chord $4x-3y=5$ of the hyperbola $2x^2-3y^2=12$ is :

asked Oct 10, 2013 by meena.p

1 answer

If the circle $x^2+y^2=a^2$ intersects the hyperbola $xy=c^2$ in four points $(x_i,y_i),$ for $i=1,2,3$ and $4$, then $y_1+y_2+y_3+y_4=$

asked Oct 10, 2013 by meena.p

1 answer

Find the area of the $\Delta$ if $a=18,b=24,c=30$

asked Oct 10, 2013 by sreemathi.v

1 answer

If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8, then the eccentricity is :

asked Oct 10, 2013 by meena.p

1 answer

The number of normals drawn to the parabola $y^2=4x$ from the point (1,0) is :

asked Oct 10, 2013 by meena.p

1 answer

The equation of the circle which passes through the origin and cuts orthogonally each of the circles $x^2+y^2-6x+8=0$ and $x^2+y^2-2x-2y=7$ is :

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

The points (3,-4) lies on both the cirlces $x^2+y^2-2x+8y+13=0$ and $x^2+y^2-4x+6y+11=0.$ Then the angle between the circles is :

asked Oct 10, 2013 by meena.p

1 answer

The diameter of a circle are along $2x+y-7=0$ and $x+3y-11=0$. Then, the equation of this circle, Which also passes through (5,7) is :

asked Oct 10, 2013 by meena.p

1 answer

In $\Delta ABC$ $a=3,b=5,c=6$ find the value of $\sin\large\frac{A}{2}$

asked Oct 10, 2013 by sreemathi.v

1 answer

The locus of center of a circle which passes through the origin and cuts off a length of 4 units from the line $x=3$ is :

asked Oct 10, 2013 by meena.p

1 answer

The equation of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the x- and y- axis respectively, are :

asked Oct 10, 2013 by meena.p

1 answer

The pair of straight line $x^2-3xy+2y^2=0$ and $x^2-3xy+2y^2=0$ and $x^2-3xy+2y^2+x-2=0$ form a:

asked Oct 10, 2013 by meena.p

1 answer

Evaluate $\sin^2\large\frac{\pi}{8}+$$\sin^2\large\frac{3\pi}{8}$$+\sin^2\large\frac{5\pi}{8}$$+\sin^2\large\frac{7\pi}{8}$

asked Oct 10, 2013 by sreemathi.v

1 answer

The area (in square units) of the triangle formed by $x+y+1=0$ and the pair of straight lines $x^2-3xy+2y^2=0$ is :

asked Oct 10, 2013 by meena.p

1 answer

The value of $\lambda$ with $|\lambda| < 16$ such that $2x^2-10xy+12y^2+5x+\lambda y -3=0$ represents a pair of straight lines, is :

asked Oct 10, 2013 by meena.p

1 answer

The equation of the straight line perpendicular to the straight line $3x+2y=0$ and passing through the point of intersection of the lines $x+3y-1=0$ and $x-2y+4=0$ is :

asked Oct 10, 2013 by meena.p

1 answer

If $\large\frac{x}{\cos\theta}=\frac{y}{\cos(\theta+\large\frac{2\pi}{3})}=\frac{z}{\cos(\theta-\large\frac{2\pi}{3})}$ then $x+y+z$ is equal to

asked Oct 10, 2013 by sreemathi.v

1 answer

The points on the line $3x+4y=5$ which is equidistant from (1,2) and (3,4) is :

asked Oct 10, 2013 by meena.p

1 answer

The area (in square units) of the circle which touches the lines $4x+3y=15$ and $4x+3y=5$ is :

asked Oct 10, 2013 by meena.p

1 answer

The transformed equation of $x^2+y^2=r^2$ when the axes are rotated through an angle $36^{\circ}$ is :

asked Oct 10, 2013 by meena.p

0 answers

Find the value of $\tan\large\frac{\pi}{8}$

asked Oct 10, 2013 by sreemathi.v

1 answer

A particle mass 'm' is attached to a thin uniform rod of length 'a' at a distance of $ \large\frac{a}{4}$ from the mid point C as shown in the figure . The mass of the rod is '4 m' . The moment of inertia of the combined system about an axis passing through 'O' and perpendicular to the rod is

asked Oct 9, 2013 by thanvigandhi_1

1 answer

A stone tied to a rope is rotated in a vertical circle with a uniform speed. If the difference between the maximum and minimum tensions in the rope is 20 N, mass of the stone in kg is $( g = 10\: ms^{-2})$

asked Oct 9, 2013 by thanvigandhi_1

1 answer

A 3 kg block is placed over a 10 kg block and both are placed on a smooth horizontal surface. The coefficient of friction between the blocks is 0.2 . If a horizontal force of 20 N is applied to 3 kg block, accelerations of the two blocks in $ ms^{-2}$ are $(g=10\: ms^{-2})$

asked Oct 9, 2013 by thanvigandhi_1

1 answer

A ball of mass 'm' moving with a horizontal velocity 'v' strikes the bob of a pendulum at rest. Mass of the bob of the pendulum is also 'm''. During this collision the ball sticks with the bob of the pendulum. The height to which the combined mass rises ( g = acceleration due to gravity )

asked Oct 9, 2013 by thanvigandhi_1

1 answer

Evaluate $\sin(1560^{\large\circ})$

asked Oct 9, 2013 by sreemathi.v

1 answer

$\large\frac{1-\tan^2(45^{\large\circ}-A)}{1+\tan^2(45^{\large\circ}-A)}$ is equal to

asked Oct 9, 2013 by sreemathi.v

1 answer

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