Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
login
X
Recent questions tagged maths
ASK
The following statement $(p \to q)\to [(\approx p \to q)\to q]$ is :
jeemain
2017
maths
set a
02042017
asked
Aug 4
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
by
meena.p
1
answer
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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}$$=1$ , meets the coordinate axes at $A$ and $B,(A \neq B),$ then the locus of the midpoint of AB is :
jeemain
2016
maths
set b
09042016
asked
May 26
by
meena.p
1
answer
If $f(x)$ is a differentiable function in the interval $(0, \infty)$ such that $f(1)=1$ and $\lim \limits_{t \to x} \large\frac{t^2f(x)-x^2f(t)}{t-x} $$=1$ fopr each $x >0$ then $f( \large\frac{3}{2})$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26
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
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
by
meena.p
1
answer
If $\int \Large\frac{dx}{\cos ^3 x \sqrt {2 \sin 2x}}$$=(\tan x)^A+C(\tan x)^B +k$ where k is a constant of integration, then $A+B+C$ equals :
jeemain
2016
maths
set b
09042016
asked
May 26
by
meena.p
1
answer
The minimum distance of a point on the curve $y=x^2−4$ from the origin is :
jeemain
2016
maths
set b
09042016
asked
May 26
by
meena.p
1
answer
If the tangent at a point $P,$ with parameter $t$, on the curve $x=4t^2+3, y=8t^3−1, t \in R,$ meets the curve again at a point Q, then the coordinates of Q are :
jeemain
2016
maths
set b
09042016
asked
May 26
by
meena.p
1
answer
If the function $f(x) = \left\{ \begin{array}{l l} -x, & \quad x < 1 \\ a+\cos ^{-1} (x+b), & \quad 1 \leq x \leq 2 \end{array} \right.$ is differentiable at $x=1$, then $\large\frac{a}{b}$ is equal to :
jeemain
2016
maths
set b
09042016
asked
May 26
by
meena.p
1
answer
Page:
1
2
3
4
...
12
next »
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...