Recent questions in Mathematics

The no of triangle whose verticles on decagon but none of whose side came f

asked Dec 10, 2018 by prakhyatpandit786

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What is $\displaystyle \int \frac {(x^2 +1)(x^2+2)}{(x^2+3)(x^2+4)} dx$ ?

asked Feb 19, 2018 by heinz.graham

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If the variance of the random variable X is 9, the standard deviation of the random variable -4x+8 is?

asked Oct 22, 2017 by adamtraitor

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The value of c for which conclusion of Mean value theorem holds for the function $f(x)= \log _e^x$ on the interval $[1,3]$ is

asked Feb 15, 2016 by meena.p

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If $\overrightarrow{a} \times \overrightarrow{b}=c, \overrightarrow{b} \times \overrightarrow{c}= \overrightarrow{a}$ and $\overrightarrow{c} \times \overrightarrow{a}= \overrightarrow{b}$ then $(\overrightarrow{a} . \overrightarrow{b} \times \overrightarrow{c}) + \overrightarrow{b} . (\overrightarrow{c} \times \overrightarrow{a})+ \overrightarrow{c}. (\overrightarrow{a} \times \overrightarrow{b})$ is equal to

asked Feb 15, 2016 by meena.p

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The Cartesian equation of the plane passing through the line of intersection of the planes. $\overrightarrow{r} .( 2 \hat i -3 \hat j+4 \hat k) =1$ and $\overrightarrow{r} .( 2 \hat i - \hat j+ \hat k)+8 =0$ and passing through $(1, 1, 1).$

asked Feb 15, 2016 by meena.p

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Consider the planes $3x-6y+2z+5=0$ and $4x-12y +3z=3$ . The plane $67x-16xy+4xz+44=0$ bisects the angle between the given planes which

asked Feb 15, 2016 by meena.p

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The reflection of the point $P(1,0,0)$ in the $\large\frac{x-1}{2} =\frac{y+1}{-3} =\frac{z+10}{8}$ is

asked Feb 15, 2016 by meena.p

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Equation of a plane binding the cycle between the planes $2x-y+2z+3=0$ and $3x-2y+6z+8$ is

asked Feb 15, 2016 by meena.p

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Let $P,Q,R$ and $S$ be the points on the plane with position vectors $-2 \hat i -\hat j ,4 \hat i, 3 \hat i +3 \hat j$ and $3 \hat i +2 \hat j$ respectively . The quadrilateral $PQRS$ must be a

asked Feb 15, 2016 by meena.p

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Equation of the plane containing the straight line $\large\frac{x}{2}= \frac{y}{3} =\frac{z}{4}$ and perpendicular to the plane containing the straight lines $\large\frac{x}{3}=\frac{y}{4} =\frac{z}{2}$ and $\large\frac{x}{4}=\frac{y}{2} =\frac{z}{3}$ is

asked Feb 15, 2016 by meena.p

1 answer

The equation of the plane passing through the line of intersection of the planes $x+2y+3z=2$ and $x-y+z=3$ and at a distance $\large\frac{2}{\sqrt 3}$ from the point $(3,1,-1)$ is

asked Feb 15, 2016 by meena.p

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The foci of an ellipse are $(0, \pm 1)$ and minor axis is of unit length . The equation of the ellipse

asked Feb 1, 2016 by meena.p

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If $z= \sqrt {5+12i }+\sqrt{12i-5}$ then the principal of org (z) can be

asked Feb 1, 2016 by meena.p

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In the expansion of $(a-b)^2 , n \leq 5,$ the sum 5th and 6th term is zero, then $\large\frac{a}{b}$ is equal to

asked Feb 1, 2016 by meena.p

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If $\sin ^{-1} \bigg( \large\frac{x}{5}\bigg)$ $+ cosec^{-1} \bigg( \large\frac{5}{4}\bigg)=\frac{\pi}{2}$ , then x is

asked Feb 1, 2016 by meena.p

1 answer

Let $f(x)=\{(3 \sin^2(10x +11)-7)^2\}$ for $x \in R$ . Then the maximum value of the function f is

asked Feb 1, 2016 by meena.p

1 answer

If $y= \sqrt{e^{\sqrt x}}$ , then $\large\frac{dy}{dx}$ is

asked Jan 28, 2016 by meena.p

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Two vertices of an equilateral triangle are $(-1,0) (1,0)$ qand the third vertex lies above the x -axis . Then the equation of the circum circle is

asked Jan 28, 2016 by meena.p

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The minimum area of triangle formed by the tangent to the ellipse $\large\frac{x^2}{a^2} +\frac{y^2}{b^2}$ $=1$ and coordinating axes is :

asked Jan 28, 2016 by meena.p

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If $\sin x + \cos y = \large \frac{1}{3}$ and $\cos x + \sin y = \frac{1}{2}$ , then $\tan \frac{(x-y)}{2}$

asked Jan 28, 2016 by meena.p

1 answer

The number of distinct roots of $\begin{bmatrix} \sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & cos x & \sin x \end{bmatrix}$ is a

asked Jan 28, 2016 by meena.p

1 answer

The inverse of the following statement If $x=3,$ then $x^2=9$ is

asked Jan 28, 2016 by meena.p

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The number of five digit number formed with out repetition , divisible by 6 with digits $0,1,2,3,4,5$ is

asked Jan 28, 2016 by meena.p

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Equation of a line passing through $(-1,2,-3)$ and perpendicular to the place $2x+3y+z+5=0$ is

asked Jan 28, 2016 by meena.p

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The side of a parallelogram are $2 \hat i +4 \hat j -5 \hat k$ and $\hat i +2 \hat j +3 \hat k$ , then the unit vector parallel to one of the diagonals is :

asked Jan 27, 2016 by meena.p

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The length of the normals drawn from the point on the axis of the parabola $y^2 =8x$ whose distance from the focus is

asked Jan 27, 2016 by meena.p

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The solution of the differential equation $\large\frac{dy}{dx} =\frac{xy}{x^2+y^2}$ is

asked Jan 27, 2016 by meena.p

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If $\cos \alpha+\cos \beta + \cos \gamma=0= \sin \alpha +\sin \beta + \sin \gamma$ then $\sin^2 \alpha +\sin ^2 \beta +\sin ^2 \gamma$

asked Jan 27, 2016 by meena.p

1 answer

If $A=\begin{bmatrix} i & -i \\ -i & i \end{bmatrix}$ and $B=\begin{bmatrix} 1 & -1 \\ -1 & 1 \end{bmatrix}$ then $A^8$ equals

asked Jan 27, 2016 by meena.p

1 answer

If $a,b,c$ be the sides of a triangle ABC and if roots of the equation . $a(b-c)x^2+b(c-a)x+c(a-b)=0$ are equal , then $\sin ^2 \bigg(\large\frac{A}{2} \bigg) ,$ $\sin ^2 \bigg(\large\frac{B}{c} \bigg),$ $\sin ^2 \bigg(\large\frac{c}{2} \bigg)$ are in

asked Jan 27, 2016 by meena.p

1 answer

$\int\large\frac{dx}{(1+x^2) \sqrt {p^2+q^2(\tan^{-1}x)^2}}$ =

asked Jan 27, 2016 by meena.p

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If $\cos ^{-1} x > \sin ^{-1} x$ , then x lies in the interval

asked Jan 27, 2016 by meena.p

1 answer

The number of equivalence relation on the set $\{1,2,3\}$ containg $(1,2)\;and\;(2,1)$ is

asked Jan 27, 2016 by meena.p

1 answer

Solve : $\lim \limits_{x \to \infty } [ \sqrt {x+\sqrt{x+\sqrt x}}-\sqrt {x} ]=$

asked Jan 27, 2016 by meena.p

1 answer

An A.P consists of 23 terms.If the sum of the 3 terms in the middle is 141 and the sum of last 3 terms is 261, then the first term is :

asked Jan 27, 2016 by meena.p

1 answer

The variance of first 20 natural number is :

asked Jan 22, 2016 by meena.p

1 answer

The value of $\int \limits_{0}^{2\pi} \large\frac{x \sin ^{2n}x }{\sin ^{2n} x+ \cos ^{2n} x}= \pi^2$

asked Jan 22, 2016 by meena.p

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The solution of $\large\frac{6x}{4x-1} < \frac{1}{2}$ is

asked Jan 22, 2016 by meena.p

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$\lim_{x \to \infty } \bigg(\large\frac{3x-4}{3x+2}\bigg) ^{\large\frac{x+1}{3}}=$

asked Jan 22, 2016 by meena.p

1 answer

The distance of the center of ellipse $x^2+2y^2-2=0$ to these tangent of the ellipse which are equally inclined from both the axis , is

asked Jan 22, 2016 by meena.p

1 answer

There are three bags each containing 5 white balls and 2 black balls. Also there are 2 bags each containing 1 white ball and 4 black balls. A black ball is drawn at random , the chance that the ball is from the first bag is :

asked Jan 22, 2016 by meena.p

1 answer

help me to find the solution of this question

asked Sep 23, 2015 by ujjwal.garg15

1 answer

consider the equation sec θ+cosec θ=a, θ ∈(0,2π)-{ π/2, π,3π/2}

asked Jul 4, 2015 by excellentdeals18

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is there any function which is continuous throughout but not differential at integral points

asked Jun 29, 2015 by achaudhury19

1 answer

if one root of the equation 5x^2+13x+k=0 is the reciprocal of the other then k=?

asked Jun 21, 2015 by _1

1 answer

Out of 7 consonents and 4 vowels, X number of words of 3 consonants and 2 vowels can be formed but Y number of groups of 3 consonents and 2 vowels can be formed. Find the value of X/Y .

asked Jun 17, 2015 by thakkarkavan

1 answer

in how many ways can a batch off 5 teachers be selected out of 10 teachers so that the eldest is included and the youngest is excluded?

asked Jun 17, 2015 by thakkarkavan

1 answer

Find the velocity of the particle at the point(1,2,3)of a rigid body which is spinning about a fixed point (2,-1,3)with angular velocity 5 radians per second,the axis of rotation being in the direction of (-2i+j+2k)

asked May 26, 2015 by tintinsnowy81

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find all possible values of a for which the expression (ax^2-7x+5) /(5x^2-7x+a) may be capable of all values, x being any real quantity of

asked Apr 13, 2015 by nimmy1357

1 answer

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