Recent questions tagged maths

If I have one mole of rupees and I want to spend it at the rate of 1 crore

asked Apr 1, 2020 by cupcake.suru

1 answer

Calculate fourth order resolution of grating that is 8 cm long and is ruled

asked Mar 19, 2020 by yadavsheetu90

1 answer

If the linear momentum is increased by 5% , the kinetic energy will increase by :

asked Oct 14, 2019 by meena.clay6

1 answer

If $\log 2,\log(2^n-1)$ and $\log (2^b+3)$ are in Ap, then n=?

asked Oct 11, 2019 by meena.clay6

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Four circles each with radius 2 touch both the axes then the radius of the largest circle touching all the four circles is :

asked Oct 11, 2019 by meena.clay6

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Find the value of $(\sin \theta+\cos 2 \theta)(\cos \theta- \sin 2 \theta)$

asked Sep 25, 2019 by meena.clay6

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If $x \sin (\alpha +y)=\sin y $ and $y'=\large\frac{m}{(x^2+2nx+1)}$, then

asked Aug 6, 2019 by meena.clay6

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The equation of projectile is $y= 16x - \large\frac{x^2}{4}$ the horizontal range

asked Jul 31, 2019 by meena.clay6

1 answer

Prove that the line $2x + y = 4$ is a tangent to the circle $x^2+y^2+6x- 10y + 29= 0$.

asked Jul 31, 2019 by meena.clay6

1 answer

Find the value of $9^{\large\frac{1}{3}},9^{\large\frac{1}{9}},9^{\large\frac{1}{127}}......$upto $\infty$

asked Jul 30, 2019 by meena.clay6

1 answer

If y =x2sinx /1-x ,then calculate dy/dx

asked Feb 16, 2019 by juveriyaqureshi39478

0 answers

Let the vertices of a ∆ ABC are A (1,-1,-3), B (2,1,-2),c(-5,2,-6) If len

asked Sep 29, 2018 by poojavsawant875

1 answer

in a cricket match the average runs scored by 5 players are 25. 1 of them s

asked Sep 11, 2018 by prasu.prasu222

1 answer

The angle between the pair of straight lines formed by joining the points o

asked Aug 26, 2018 by dineeshjalapati

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the general solution of the eqution √√3cosx-2+√cot3x+¼=(sin²x-½)(c

asked Jul 23, 2018 by goundla16

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Find the equation of the plane passing through the line of intersection of the planes $x+y+z-1=0$ and $x+4y+3z=0$ and parallel to the line $x-1=3y=3(z+1)$

asked May 18, 2018 by meena.p

1 answer

Find the shortest distance between two skew lines $ L_1: \large\frac{x-3}{2}=\frac{y+1}{4}=\frac{z-2}{-1}$ and $ L_2: \large\frac{x-3}{2}=\frac{y-2}{1}=\frac{z+2}{2}$ and obtain equations of two parallel planes $P_1$ and $P_2$ contain $L_1$ and $L_2$ respectively

asked May 18, 2018 by meena.p

0 answers

the mean square deviation of n observaion x1,x2...,xn,about -2 and 2 are 18

asked Feb 2, 2018 by sunshiferaw

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An aeroplane,when flying at a height of 4000m from the ground passes vertic

asked Dec 19, 2017 by christokj9

1 answer

The following statement $(p \to q)\to [(\approx p \to q)\to q]$ is :

asked Aug 4, 2017 by meena.p

1 answer

Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that $AP=2AB$. If $\angle BPC=\beta$, then $\tan \beta$ is equal to :

asked Aug 4, 2017 by meena.p

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If $5(tan^2 x−cos^2 x)=2cos 2x+9$, then the value of $\cos 4x$ is :

asked Aug 4, 2017 by meena.p

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If two different numbers are taken from the set {0, 1, 2, 3, ......, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is :

asked Aug 4, 2017 by meena.p

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For three events A, B and C, P(Exactly one of A or B occurs) =P(Exactly one of B or C occurs) =P(Exactly one of C or A occurs)= $\large\frac{1}{4}$ and P(All the three events occur simultaneously)=$\large\frac{1}{16}$.Then the probability that at least one of the events occurs, is :

asked Aug 4, 2017 by meena.p

1 answer

A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :

asked Aug 4, 2017 by meena.p

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Let $\overrightarrow{a}= 2\hat i +\hat j -2 \hat k$ and $\overrightarrow{b}= \hat i +\hat j $. Let $\overrightarrow{c}$ be a vector such that $\bigg|\overrightarrow{c}-\overrightarrow{a} \bigg|= 3,\bigg|(\overrightarrow{a} \times \overrightarrow{b} ) \times \overrightarrow{c} \bigg|=3$and the angle between $\overrightarrow{c}$ and $\overrightarrow{a} \times \overrightarrow{b}$ be $30^{\circ}$. Then $\overrightarrow{a}.\overrightarrow{c}$ is equal to :

asked Aug 4, 2017 by meena.p

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If the image of the point P(1, −2, 3) in the plane, $2x+3y−4z+22=0$ measured parallel to the line, $\large\frac{x}{1}=\frac{y}{4}=\frac{z}{5}$ is Q, then PQ is equal to :

asked Aug 4, 2017 by meena.p

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The distance of the point (1, 3, −7) from the plane passing through the point $(1, −1, −1),$ having normal perpendicular to both the lines $\large\frac{x-1}{1}=\frac{y+2}{-2}=\frac{z-4}{3}$ and $\large\frac{x-2}{2}=\frac{y-1}{-1}=\frac{z+7}{-1}$, is:

asked Aug 4, 2017 by meena.p

0 answers

A hyperbola passes through the point $P( \sqrt {2} , \sqrt{3} )$ and has foci at $(\pm 2, 0)$. Then the tangent to this hyperbola at P also passes through the point :

asked Aug 4, 2017 by meena.p

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The eccentricity of an ellipse whose centre is at the origin is $\large\frac{1}{2}$ . If one of its directrices is $x=−4,$ then the equation of the normal to it at $\bigg(1,\large\frac{3}{2}\bigg)$ is :

asked Aug 4, 2017 by meena.p

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The radius of a circle, having minimum area, which touches the curve $y=4−x^2$ and the lines, $y=|x|$ is :

asked Aug 4, 2017 by meena.p

1 answer

Let k be an integer such that the triangle with vertices (k, −3k), (5, k) and (−k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point:

asked Aug 4, 2017 by meena.p

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If $(2+\sin x) \large\frac{dy}{dx}$$+(y+1) \cos x=0$ and $y(0)=1$, then $y \bigg(\large\frac{\pi}{2} \bigg)$ is equal to :

asked Aug 4, 2017 by meena.p

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The area (in sq. units) of the region $\{(x, y) : x/0, x+y≤3, x2≤4y \;and\; y≤1+ x \}$ is :

asked Aug 4, 2017 by meena.p

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The integral $\int \limits_{\pi/4}^{3 \pi/4} \large\frac{dx}{1+\cos x}$ is equal to :

asked Aug 4, 2017 by meena.p

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Let $ I_n= \int \tan^n x dx , (n > 1)$ If $I_4+I_6=a \tan^5 x+bx^5+C$ where C is a constant of integration, then the ordered pair (a, b) is equal to :

asked Aug 3, 2017 by meena.p

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Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flower-bed, is :

asked Aug 3, 2017 by meena.p

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The normal to the curve $y(x−2)(x−3)=x+6$ at the point where the curve intersects the y-axis passes through the point :

asked Aug 3, 2017 by meena.p

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If for $x \in \bigg( 0, \large\frac{1}{4} \bigg)$ the derivative of $\tan ^{-1} \bigg( \large\frac{6x \sqrt x}{1-9x^3}\bigg)$ is $\sqrt x .g(x) $ then $g(x)$ equals

asked Aug 3, 2017 by meena.p

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$\lim_{x \to \large\frac{\pi}{2}} \Large\frac{\cot x - \cos x}{(\pi -2x)^3}$ equals :

asked Aug 1, 2017 by meena.p

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Let $a, b, c \in R$. If $f(x)=ax^2 +bx+c$ is such that $a+b+c=3$ and $f (x+y)=f(x)+f(y)+xy, ∀ x, y \in R$, then $\sum\limits_{n=1}^{90} f(n) $ is equal to :

asked Aug 1, 2017 by meena.p

0 answers

For any three positive real numbers a, b and c, $9(25a^2+b^2) +25(c^2−3ac)=15b(3a+c)$. Then

asked Aug 1, 2017 by meena.p

0 answers

The value of $(^{21}C_1 - ^{10} C_1) +(^{21} C_2 -^{10}C_2) +(^{21}C_3 - ^{10} C_3) +(^{21}C_4 - ^{10} C_4) +.....+ (^{21}C_{10} - ^{10} C_{10}) $ is :

asked Aug 1, 2017 by meena.p

0 answers

A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men.Assume X and Y have no common friends.Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is :

asked Jul 31, 2017 by meena.p

0 answers

If S is the set of distinct values of ‘b’ for which the following system of linear equations$x+y+z=1 \\ x+ay+z=1 \\ ax+by+z=0 $ has no solution, then S is :

asked Jul 31, 2017 by meena.p

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If $A= \begin{bmatrix} 2 & -3 \\ -4 & 1 \end{bmatrix}$ then adj $(3A^2+12A)$ is equal to :

asked Jul 31, 2017 by meena.p

2 answers

Let $\omega$ be a complex number such that $2 \omega +1=z$ where $z= \sqrt{-3} $ . $\begin{bmatrix} 1 & 1 & 1 \\ 1 & -\omega^2-1 & \omega^2 \\ 1 & \omega^2 & \omega^7 \end{bmatrix}=3k$ then k is equal to :

asked Jul 31, 2017 by meena.p

0 answers

If, for a positive integer n, the quadratic equation, $ x(x+1)+(x+1)(x+2)+....+(x+ \bar{n- 1}) (x+n)=10n$ has two consecutive integral solutions, then n is equal to :

asked Jul 31, 2017 by meena.p

0 answers

The function $f: R \to \bigg[ -\large\frac{1}{2} ,\frac{1}{2} \bigg]$ defined as $f(x) = \large\frac{x}{1+x^2}$ is

asked Jul 31, 2017 by meena.p

0 answers

If the tangent at a point on the ellipse $\large\frac{x^2}{27} +\frac{y^2}{3}$$=1$ meets the coordinate axes at A and B, and O is the origin, then the minimum area (in sq. units) of the triangle $OAB$ is :

asked May 29, 2017 by meena.p

1 answer

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