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Recent questions tagged maths
ASK
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 $x-1=3y=3(z+1)$
class10
maths
coordinate-geometry
asked
May 18
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
class10
maths
coordinate-geometry
asked
May 18
by
meena.p
0
answers
the mean square deviation of n observaion x1,x2...,xn,about -2 and 2 are 18
maths
asked
Feb 2
by
sunshiferaw
0
answers
An aeroplane,when flying at a height of 4000m from the ground passes vertic
maths
asked
Dec 19, 2017
by
christokj9
1
answer
The following statement $(p \to q)\to [(\approx p \to q)\to q]$ is :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
If $5(tan^2 x−cos^2 x)=2cos 2x+9$, then the value of $\cos 4x$ is :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain-2017jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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:
jeemain
2017
maths
set a
02042017
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
The radius of a circle, having minimum area, which touches the curve $y=4−x^2$ and the lines, $y=|x|$ is :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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:
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
The area (in sq. units) of the region $\{(x, y) : x/0, x+y≤3, x2≤4y \;and\; y≤1+ x \}$ is :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
The integral $\int \limits_{\pi/4}^{3 \pi/4} \large\frac{dx}{1+\cos x}$ is equal to :
jeemain
2017
maths
set a
02042017
asked
Aug 4, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 3, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 3, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
asked
Aug 3, 2017
by
meena.p
0
answers
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
jeemain
2017
maths
set a
02042017
asked
Aug 3, 2017
by
meena.p
0
answers
$\lim_{x \to \large\frac{\pi}{2}} \Large\frac{\cot x - \cos x}{(\pi -2x)^3}$ equals :
jeemain
2017
maths
set a
02042017
asked
Aug 1, 2017
by
meena.p
0
answers
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 :
jeemain
2017
maths
set a
02042017
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
jeemain
2017
maths
set a
02042017
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 :
jeemain
2017
maths
set a
02042017
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 :
jeemain
2017
maths
set a
02042017
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 :
jeemain
2017
maths
set a
02042017
asked
Jul 31, 2017
by
meena.p
0
answers
If $A= \begin{bmatrix} 2 & -3 \\ -4 & 1 \end{bmatrix}$ then adj $(3A^2+12A)$ is equal to :
jeemain
2017
maths
set a
02042017
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 :
jeemain
2017
maths
set a
02042017
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 :
jeemain
2017
maths
set a
02042017
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
jeemain
2017
maths
set a
02042017
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 :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
Consider the following two statements : <br> P : If 7 is an odd number, then 7 is divisible by 2. <br> Q : If 7 is a prime number, then 7 is an odd number. <br> If $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of contrapositive of Q, then the ordered pair $(V_1, V_2)$ equals :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
If $m$ and $M$ are the minimum and the maximum values of $4 +\large\frac{1}{2} $$\sin ^2 2x - 2 \cos ^4 x , x \in R$ then $M−m$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
The number of $x \in [0, 2 \pi]$ for which $| \sqrt{2 \sin ^4 x +18 \cos ^2 x} - \sqrt {2 \cos ^4 x +18 \sin ^2 x}|=1$ is :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
If $A$ and $B$ are any two events such that $P(A)= \large\frac{2}{5}$ and $P(A \cap B)=\large\frac{3}{20}$,then the conditional probability, $P(A |(A' \cup B')),$ where $A'$ denotes the complement of A, is equal to :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
If the mean deviation of the numbers $1, 1+ d, ..., 1+100d$ from their mean is $255$, then a value of $d$ is :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
In a triangle $ABC$, right angled at the vertex $A$, if the position vectors of A, B and C are respectively $3 \hat i + \hat j - \hat k , \hat i+3 \hat j +p \hat k $ and $5 \hat i+q \hat j -4 \hat k$ then the point $(p, q)$ lies on a line :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
The distance of the point $(1, −2, 4)$ from the plane passing through the point $(1, 2, 2)$ and perpendicular to the planes $x−y+2z=3$ and $2x−2y+z+12=0,$ is :
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
The shortest distance between the lines $\large\frac{x}{2}=\frac{y}{2}=\frac{z}{1}$ and $\large\frac{x+2}{-1} = \frac{y-4}{8} =\frac{z-5}{4}$ lies in the interval
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation $9e^2−18e+5=0$. If $S(5, 0)$ is a focus and $5x=9$ is the corresponding directrix of this hyperbola, then $a^2−b^2$ is equal to
jeemain
2016
maths
set b
09042016
asked
May 29, 2017
by
meena.p
1
answer
A circle passes through $(−2, 4)$ and touches the y-axis at $(0, 2)$. Which one of the following equations can represent a diameter of this circle ?
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The point $(2, 1)$ is translated parallel to the line $L : x−y=4$ by $2 \sqrt 3$ units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
If a variable line drawn through the intersection of the lines $\large\frac{x}{3}+\frac{y}{4}$$=1$ and $\large\frac{x}{4}+\frac{y}{3}$$=1$ , meets the coordinate axes at $A$ and $B,(A \neq B),$ then the locus of the midpoint of AB is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
If $f(x)$ is a differentiable function in the interval $(0, \infty)$ such that $f(1)=1$ and $\lim \limits_{t \to x} \large\frac{t^2f(x)-x^2f(t)}{t-x} $$=1$ fopr each $x >0$ then $f( \large\frac{3}{2})$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
The area (in sq. units) of the region described by $A=\{(x, y)|y ≥ x2−5x+4, x+y ≥ 1, y ≤ 0\}$ is :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
If $2 \int \limits_0^1 \tan ^{-1} x dx = \int \limits _0^1 \cot ^{-1} (1-x+x^2)dx$ then $\int \limits_0^1 \tan ^{-1} (1-x+x^2)dx$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26, 2017
by
meena.p
1
answer
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