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Recent questions and answers in Mathematics
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JEEMAIN and NEET
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Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trignometry
Class12
Sets, Relations and Functions
Integrate : $ \int \large\frac{7}{3} \bigg( \frac{1}{x}-\frac{1}{x^2 }\bigg)$$ \times a (\log x + \large\frac{1}{x} ) $$dx$
jeemain
math
class12
ch7
integral-calculus
integration-by-subsitution
easy
q198
answered
Apr 4
by
shalokama
2
answers
The no of triangle whose verticles on decagon but none of whose side came f
math
answered
Dec 31, 2019
by
kumaraditya95042
1
answer
The inverse of $f(x)=x-[x],$ where $[x]$ is greatest integer function is
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
difficult
answered
Sep 29, 2019
by
pranav.awasarmol123
2
answers
Find the equation of the ellipse referred to its centre whose minor axis is equal to the distance between the foci and whose latus is 10?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q81
medium
answered
Jul 18, 2019
by
dattawakde7507
2
answers
Given the following statement: Some pins are clips. Some clips are pens. Now, consider the claims: C1 :Some pins are pens and C2: No pin is a pen. Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.
class12
jeemain
math
mathematical-reasoning
unit14
easy
q25
answered
Jul 3, 2019
by
rana99ankitt
1
answer
Given the following statement: All seats are hot. All belts are hot. Now, consider the claims: C1: Some seats are belts. C2: All hot are either seats or belts . Now, mark according to the rules - \[\] i) Mark A if C1 is true, ii) Mark B if C2 is true,iii) Mark C if neither C1 nor C2 is true and iv) Mark D if both C1 and C2 are true.
jeemain
math
mathematical-reasoning
class11
unit14
easy
q30
answered
May 15, 2019
by
swamiaboli91
1
answer
The variance of the first 50 even natural numbers is:
jeemain
math
statistics-and-probability
jeemain-2014
q35
statistics
answered
May 3, 2019
by
clairtom2001
1
answer
If the variance of the random variable X is 9, the standard deviation of the random variable -4x+8 is?
math
answered
Apr 6, 2019
by
yachyuth2001
1
answer
If the set $S={1,2,3...........12}$ is to be partitioned into 3 sets A,B,C of equal size so that $A\cup\:\:B\cup\:C=S\:and\:A\cap\:B=B\cap\:C=C\cap\: A=\phi$, then the number of ways the partition can be done is equal to: \[\] $(A)\:\:\:\large \frac{12!}{3!(3!)^4}\quad$ $(B)\:\:\:\large \frac{12!}{(4!)^3}\quad$ $(C)\:\:\:\ \large \frac{12!}{(3!)^3}\quad$ $(D)\:\:\: \large \frac{12!}{3!(4!)^3}\quad$
answered
Dec 28, 2018
by
ravindrayadav78795
1
answer
$\lim\limits_{x \to 2} \frac{tan(x-2) \left | x^2+(k-2)x-xk \right | }{(x-2)^2}=5$ ..find k
answered
Dec 28, 2018
by
ravindrayadav78795
1
answer
What is $\displaystyle \int \frac {(x^2 +1)(x^2+2)}{(x^2+3)(x^2+4)} dx $ ?
math
answered
Dec 13, 2018
by
nikhilgautam7000
1
answer
The statement $\sim(p \leftrightarrow \sim q)$ is
jeemain
math
class11
ch14
mathematical-reasoning
jeemain-2014
implications-(tautology-contradiction.)
q38
answered
May 25, 2018
by
saumyaa316
1
answer
The number of integral terms in the expansion of $(5^{\large\frac{1}{2}}$$+7^{\large\frac{1}{8}}$$)^{1024}$ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
difficult
answered
Apr 11, 2018
by
vijayalakshmi.r
1
answer
Two fair dice are tossed once. The probability of getting an even number on the first die or a total of 8 is
jeemain
math
cbse
class12
probability
independent events
easy
q11
answered
Mar 18, 2018
by
prakashtiwariaditya
2
answers
If $f_k(x) = \large\frac{1}{k}$$(\sin^k x + \cos^k x)$, where $x\in R$ and $k \geq 1$. The $f_4(x) - f_6(x)$ equals
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
jeemain-2014
q44
medium
answered
Nov 15, 2017
by
ityagi002
1
answer
If $O$ is origin, $|\overrightarrow{OP}|=3$ with $d.r.=(-1,2,-2)$ then the coordinate of $P$ is ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
easy
q57
answered
Nov 7, 2017
by
priyanka.c
2
answers
Find the area of rhombus formed by the lines $x\pm y\pm 1=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q35
difficult
answered
Jul 28, 2017
by
mandarkulkarni11
2
answers
Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals
jeemain
math
cbse
class12
probability
bionomial-distribution
difficult
q8
answered
Jul 9, 2017
by
phaniajit2005
2
answers
If $f(x)=(x+1)^{\cot x}$ is continuous at $x=0$ then $f(0)$ is
jeemain
math
clas12
continuity-and-differentiability
continuity
easy
q47
answered
May 30, 2017
by
shivanip1436
2
answers
Find $\cos 55^{\large\circ}+\cos 65^{\large \circ}+\cos 175^{\large\circ}$
jeemain
math
class11
ch3
trigonometric-functions
q57
angles
easy
answered
May 20, 2017
by
rohtashkaumarsharma140971
2
answers
In a GP, given that the first term is $ 312 ½ $ and the common ratio is $ 1/2 $ find the sum of the terms of the series to infinity.
jeemain
math
class11
unit7
sequences-and-series
medium
answered
May 14, 2017
by
nikunjjain285
1
answer
The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
easy
answered
Nov 19, 2016
by
devanshugarg200ce
2
answers
determine whether even or odd : f(x+y)+f(x-y)=2f(x).f(y) ; where f(0) is not zero and x,y belongs to set of Real numbers
answered
May 20, 2016
by
asthajagia
1
answer
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
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
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
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
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).$
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
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
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
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
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
Equation of a plane binding the cycle between the planes $2x-y+2z+3=0$ and $ 3x-2y+6z+8$ is
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
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
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
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
jeemain
math
sets-relations-and-functions
answered
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
jeemain
math
sets-relations-and-functions
answered
Feb 15, 2016
by
meena.p
1
answer
The foci of an ellipse are $(0, \pm 1)$ and minor axis is of unit length . The equation of the ellipse
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
If $z= \sqrt {5+12i }+\sqrt{12i-5}$ then the principal of org (z) can be
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
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
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
If $ \sin ^{-1} \bigg( \large\frac{x}{5}\bigg) $$ + cosec^{-1} \bigg( \large\frac{5}{4}\bigg)=\frac{\pi}{2}$, then x is
jeemain
math
sets-relations-and-functions
answered
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
jeemain
math
sets-relations-and-functions
answered
Feb 1, 2016
by
meena.p
1
answer
If $ y= \sqrt{e^{\sqrt x}}$ , then $\large\frac{dy}{dx}$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
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
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
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 :
jeemain
math
conics
answered
Jan 28, 2016
by
meena.p
1
answer
If $ \sin x + \cos y = \large \frac{1}{3}$ and $\cos x + \sin y = \frac{1}{2}$, then $\tan \frac{(x-y)}{2}$
jeemain
math
sets-relations-and-functions
answered
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
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
The inverse of the following statement If $x=3,$ then $x^2=9$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
The number of five digit number formed with out repetition , divisible by 6 with digits $0,1,2,3,4,5$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
Equation of a line passing through $(-1,2,-3)$ and perpendicular to the place $2x+3y+z+5=0$ is
jeemain
math
sets-relations-and-functions
answered
Jan 28, 2016
by
meena.p
1
answer
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 :
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
The length of the normals drawn from the point on the axis of the parabola $y^2 =8x $ whose distance from the focus is
jeemain
math
conics
answered
Jan 27, 2016
by
meena.p
1
answer
The solution of the differential equation $ \large\frac{dy}{dx} =\frac{xy}{x^2+y^2}$ is
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
If $\cos \alpha+\cos \beta + \cos \gamma=0= \sin \alpha +\sin \beta + \sin \gamma$ then $ \sin^2 \alpha +\sin ^2 \beta +\sin ^2 \gamma$
jeemain
math
sets-relations-and-functions
answered
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
jeemain
math
sets-relations-and-functions
answered
Jan 27, 2016
by
meena.p
1
answer
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