Recent questions tagged maths

$lim _ {x \to 0} $$\large\frac{(1-\cos 2x)(3+ \cos x)}{x \tan 4x}$ is equal to :

asked Nov 13, 2015 by meena.p

1 answer

Locus of the image of the point $(2,3)$ in the line $(2x-3y+4)+k(x-2y+3)=0,k \in R$, is a

asked Nov 13, 2015 by meena.p

1 answer

Let A and B be two sets containing four and two elements respectively . Then the number of subset of the set $A \times B$ , each having at least three elements is :

asked Nov 13, 2015 by meena.p

1 answer

The equation of the plane containing the line $2x-5y+z=3; x+y+4z=5$ and parallel to the plane , $x+3y+6z=1$, is :

asked Nov 13, 2015 by meena.p

1 answer

The number of points , having both co-ordinates as integers,that lie in the interior of the triangle of the triangle with vertices $(0,0),(0,41)$ and $(41,0)$ is :

asked Nov 13, 2015 by meena.p

1 answer

If the angles of elevation of the top of a tower from three collinear points A,B and C on a line leading to the foot of the tower, are $30^{\circ}, 45^{\circ}$ and $60^{\circ}$ respectively , the the ratio , $AB:BC$ is

asked Nov 13, 2015 by meena.p

1 answer

Let O be the vertex and Q be any point on the parabola , $x^2=8y$. If the point P divides the line segment OQ internally in the ratio $1:3$ , then the locus of P is :

asked Nov 13, 2015 by meena.p

1 answer

Let $\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ be three are col linear and $(\overrightarrow{a} \times \overrightarrow{b}) \times \overrightarrow{c}= \large\frac{1}{3} |\overrightarrow{b}||\overrightarrow{c}|\overrightarrow{a}$. If $\theta$ is the angle between vectors $\overrightarrow{b}$ and $\overrightarrow{c}$, then a value of $\sin \theta$ is :

asked Nov 13, 2015 by meena.p

1 answer

Let $\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ be three are col linear and $(\overrightarrow{a} \times \overrightarrow{b}) \times \overrightarrow{c}= \large\frac{1}{3} |\overrightarrow{b}||\overrightarrow{c}|\overrightarrow{a}$. If $\theta$ is the angle between vectors $\overrightarrow{b}$ and $\overrightarrow{c}$, then a value of $\sin \theta$ is :

asked Oct 30, 2015 by meena.p

1 answer

Let A and B be two sets containing four and two elements respectively . Then the number of subset of the set $A \times B$ , each having at least three elements is :

asked Oct 30, 2015 by meena.p

1 answer

If the angles of elevation of the top of a tower from three collinear points $A,B $ and $C$ on a line leading to the foot of the tower , are $30^{\circ},45^{\circ}$ and $60^{\circ}$respectively , then the ratio , $AB:BC$ , is :

asked Oct 30, 2015 by meena.p

1 answer

$\lim \limits_{x \to 0} \large\frac{(1- \cos 2x)(3+ \cos x)}{x \tan 4x}$ is equal to :

asked Oct 30, 2015 by meena.p

1 answer

Locus of the image of the point $(2,3)$ in the line $(2x-3y+4)+k(x-2y+3)=0,k \in R$, is a :

asked Oct 30, 2015 by meena.p

1 answer

If the function $g(x) = \left\{ \begin{array} {1 1} k \sqrt{x+1} , & \quad 0 \leq x \leq 3 \\ mx+2,& \quad 3 < x \leq 5 \end{array} \right. $ is differentiable , then the value of $k+m$ is :

asked Oct 30, 2015 by meena.p

1 answer

The integral $\int \limits_2^4 \large\frac{\log x^2}{\log x^2+\log(36-12x+x^2)}$$dx$is equal to :

asked Oct 30, 2015 by meena.p

1 answer

The sum of coefficient on integral powers of x in the binomial expansion of $(1-2 \sqrt {x})^{50}$ is :

asked Oct 30, 2015 by meena.p

1 answer

If $12$ identical balls are to be placed in 3 identical boxes ,then the probability that one of the boxes contains exactly 3 balls is :

asked Oct 30, 2015 by meena.p

1 answer

The set of all values of $\lambda$ for which the system of linear of linear equations : $2x_1-2x_2+x_3 =\lambda x_1 \\ 2x_1-3x_2+2x_3 =\lambda x_2 \\ -x_1 + 2x_2 = \lambda x_3$ has a non- trivital solution,

asked Oct 30, 2015 by meena.p

1 answer

The number of common tangents to the circles $x^2+y^2-4x-6y-12=0$ and $x^2+y^2+6x+18y+26=0$, is :

asked Oct 30, 2015 by meena.p

1 answer

The equation of the plane containing the line $2x-5y+z=3; x+y+4z=5$ and parallel to the plane , $x+3y+6z=1$, is :

asked Oct 30, 2015 by meena.p

1 answer

The area (in sq.units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse $\large\frac{x^2}{9} + \frac{y^2}{5} $$=1$ is :

asked Oct 30, 2015 by meena.p

1 answer

The mean of the data set comprising of 16 observations is $16$ . If one of the observation valued 16 is deleted and three new observations, valued 16 is deleted and three new observation valued $3,4$ and $5$ are added to the mean of the resultant data, is :

asked Oct 30, 2015 by meena.p

1 answer

Let O be the vertex and Q be any point on the parabola , $x^2=8y$. If the point P divides the line segment OQ internally in the ratio $1:3$ , then the locus of P is :

asked Oct 30, 2015 by meena.p

1 answer

The area (in sq.units ) of the region described by : $\{(x,y):y^2 \leq 2x\;and\;y \geq 4x-1\}$ is :

asked Oct 30, 2015 by meena.p

1 answer

The distance of the point $(1,0,2)$ from the point of intersection of the line $\large\frac{x-2}{3} =\frac{y+1}{4} =\frac{z-2}{12}$ and the plane $x-y+z=16,$ is :

asked Oct 30, 2015 by meena.p

1 answer

Let $ \tan^{-1}y = \tan ^{-1}x + \tan^{-1} \bigg(\large\frac{2x}{1-x^2}\bigg)$, where $|x| < \frac{1}{\sqrt 3 }$. Then a value of y is :

asked Oct 30, 2015 by meena.p

1 answer

Let $\alpha$ and $B$ be the roots of equation $x^2-6x-2=0$ .If $a_n= \alpha^n- \beta^n,$ for $n \geq 1$then the value of $ \large\frac{a_{10}-2_{a8}} {2a_{9}}$ is equal to :

asked Oct 30, 2015 by meena.p

1 answer

The number of points , having both co-ordinates as integers,that lie in the interior of the triangle of the triangle with vertices $(0,0),(0,41)$ and $(41,0)$ is :

asked Oct 30, 2015 by meena.p

1 answer

The number of integers greater than $6,000$ that can be formed , using the digits $3,5,6,7$ and $8$, with out repetion, is :

asked Oct 30, 2015 by meena.p

1 answer

Let $y(x)$ be the solution of the differential equation $(x log x) \frac{dy}{dz} $$+y=2x \log x , x (\geq 1)$ Then $y(e) $ i equal to :

asked Oct 29, 2015 by meena.p

1 answer

If m is the A.M of two distinct real number l and n (l,n >1) and $G_1,G_2$ and $G_3$ are three geometric means between l and n, then $G_1^4 +2 G_2^4+G_3^4$ equals

asked Oct 29, 2015 by meena.p

1 answer

The integral $\int \frac{dx}{x^2(x^4+1)^{3/4}}$ equals :

asked Oct 29, 2015 by meena.p

1 answer

If $A=\begin{bmatrix}1 & 2 & 2 \\ 2 & 1 & -2\\ a & 2 & b \end{bmatrix}$ is a matrix satisfying the equation $AA^T=9I$ , where I is $ 3 \times 3$ identity matrix , then the ordered pair $(a,b)$ is equal to :

asked Oct 29, 2015 by meena.p

1 answer

The negation of $s\approx V ( \approx s)$ is equivalent to :

asked Oct 29, 2015 by meena.p

1 answer

Let $f(x) $ be a polynomial of degree four having extreme values at $x=1$ and $ x=2$ If $\lim\limits_{x \to 0} \bigg[1+\large\frac{f(x)}{x^2}\bigg]$$=3$ then $(2)$ is equal to :

asked Oct 29, 2015 by meena.p

1 answer

The sum of first 9 terms of the series $\large\frac{1^3}{1} +\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}$+.....is :

asked Oct 29, 2015 by meena.p

1 answer

The normal to the curve , $x^2+2xy-3y^2=0$ at (1,1):

asked Oct 29, 2015 by meena.p

1 answer

A complex number z is said to be uni modular if $|z|=1$. suppose $z_1$ and $z_2$ are complex numbers such that $ \large\frac{z_1-2z_2}{2-z_1z_2}$ is unimodular and $z_2$ is not unimodular. Then the point $z_1$ lies on a :

asked Oct 29, 2015 by meena.p

1 answer

Let $y(x)$ be the solution of the differential equation : $(x log x) \large\frac{dy}{dx} $$4+y = 2x \log x, (x \geq).$ then $y(e) $ is equal to :

asked Oct 26, 2015 by meena.p

1 answer

The number of common tangent to the circles $x^2+y^2-4x-6y-12=0$ and $x^2+y^2+6x+18y+26=0$, is :

asked Oct 26, 2015 by meena.p

1 answer

The normal to the curve $x^2+2xy-3y^2=0$ at $(1,1)$:

asked Oct 26, 2015 by meena.p

1 answer

The set of all values of $\lambda$ for which the system of linear equations : $2x_1-2x_2+x_3 = \lambda x_1 \\2x_1 -3x_2+2x_3 = \lambda x_2 \\ -x_1 +2x_2 = \lambda x_3\\$ has a non- trivial solution ,

asked Oct 26, 2015 by meena.p

1 answer

If the function $g(x) = \left\{ \begin{array} {1 1} k \sqrt{x+1} , & \quad 0 \leq x \leq 3 \\ mx+2,& \quad 3 < x \leq 5 \end{array} \right. $ is differentiable , then the value of $k+m$ is :

asked Oct 26, 2015 by meena.p

1 answer

If $A=\begin{bmatrix}1 & 2 & 2 \\ 2 & 1 & -2 \\a & 2 & b \end{bmatrix}$ is a matrix satisfying the equation $Aa^T= 9I$ Where $I$ is $3 \times 3 $ identify matrix, then the ordered pair $(a,b)$ is equal to :

asked Oct 26, 2015 by meena.p

1 answer

Let $ \overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{a}$ be three non-zero vectors such that no two of them are col linear and $(\overrightarrow{a},\overrightarrow{b}) \times \overrightarrow{c}= \frac{1}{3}|\overrightarrow{b}||\overrightarrow{c}|,\overrightarrow{a}$. If $\theta$ is the angle between vector $\overrightarrow{b}$ and $\overrightarrow{c}$, then a value of $\sin \theta$ is :

asked Oct 26, 2015 by meena.p

1 answer

$lim _{x \to 0} $$\large\frac{(1-\cos 2x)(3+ \cos x)}{x \tan 4x}$ is equal to :

asked Oct 26, 2015 by meena.p

1 answer

If the angles of elevation of the top of a tower from three collinear points A,B and C on a line leading to the foot of the tower, are $30^{\circ}, 45^{\circ}$ and $60^{\circ}$ respectively , the the ratio , $AB:BC$ is

asked Oct 26, 2015 by meena.p

1 answer

The negation of $\approx s \vee (r \wedge s) $ is equivalent to :

asked Oct 26, 2015 by meena.p

1 answer

The integral $\int\limits_2^4 \frac{\log x^2}{\log x^2 +\log (36 -12x+x^2)}$$dx$ is equal to :

asked Oct 26, 2015 by meena.p

1 answer

The integral $\int\limits_2^4 \frac{\log x^2}{\log x^2+\log(36-12x+x^2)}$$dx$ is equal to :

asked Oct 26, 2015 by meena.p

0 answers

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