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Recent questions and answers in Class11
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JEEMAIN and NEET
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Mathematics
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Class11
Class11
Sets
Relations and Functions
Trigonometric Functions
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Permutations and Combinations
Bionomial Theorem and Simple Applications
Sequence and Series
Coordinate Geometry: Straight Lines
Coordinate Geometry: Conic Sections
Coordinate Geometry
3-D Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
Given the following statement: Statements: No shoe is a chappal. Some chappals are sandals. Now, consider the claims: C1: Some sandals are not chappals.. C2: Sandals which are not chappals are shoes. 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
q28
answered
Jun 28
by
mohammadparvez616
1
answer
The sentence "____ if and only if $ x + x = 3x$" is TRUE. Which of the following could be used to fill in the blank?
jeemain
math
mathematical-reasoning
class11
ch14
medium
statements
q9
answered
Jun 16
by
swatisss278
1
answer
Given the following statement: All doors are windows. Some windows are clips. Now, consider the claims: C1 :Some clips, if they are doors, they are also windows C2: All clips which are not widows are also not doors. 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
q27
answered
Jul 22, 2020
by
praattiikk
1
answer
The no of triangle whose verticles on decagon but none of whose side came f
math
answered
Dec 31, 2019
by
kumaraditya95042
1
answer
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 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
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
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
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
The sum of 0.2, 0.22, 0.222, 0.2222.....till n terms is given by
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q93
answered
Sep 16, 2015
by
illusionist.nectar
2
answers
if one root of the equation 5x^2+13x+k=0 is the reciprocal of the other then k=?
answered
Jun 21, 2015
by
pady_1
1
answer
find all possible values of a for which the expression (ax^2-7x+5) /(5x^2-7x+a) may be capable of all values, x being any real quantity of
answered
Apr 16, 2015
by
sharmaaparna1
1
answer
if p>2 and p belongs to N, then the equation x cube -px+1=0 cannot have
maths-arihant
answered
Apr 16, 2015
by
sharmaaparna1
1
answer
let a,b,c be non-zero real no such that integral (1+(cosx)^8)(ax^2+bx+c)dx when limits applied from 0-1=integral(1+(cosx)^8)(ax^2+bx+c)dx when limits applied from 0-2 . Then the equation ax^2+bx+c=0 has
math-arihant
asked
Apr 13, 2015
by
nimmy1357
0
answers
Ballot Theorum
#iitmains
answered
Mar 24, 2015
by
vijayalakshmi.r
1
answer
If vertex and focus of hyperbola are $(2,3)$ and $(6,3)$ respectively and eccentricity e of the hyperbola is 2 then equation of the hyperbola is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm2,0)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
The eccentricity of the hyperbola $9y^2 -4x^2=36$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$. Its equation is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Equation of the chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Find the equation of hyperbola if the distance between the foic is $16, e=\sqrt 2$ and axis along x-axis with centre oxgin.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Find the equation of the tangents drawn from the point $(-1,-2)$ to the hyperbola $2x^2-3y^2=6 $
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
A rectangular hyperbola whose cetre is C is cut by any circle of radius r in four points $P,Q,R$ and S. Then $CP^2+CQ^2+CR2+CS^2$ is equal to.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
If angle between the asymptotcs of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$is $45^{\circ}$ then value of eccentricity $e$ is :
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Equation of chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
If $e$ and $e'$ be the eccentricities of a hyperbola and its conjugate then $ \large\frac {1}{e^2}+\frac{1}{e^{12}}$ is equal to
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
The locus of a point $p(\alpha, \beta)$ moving under the condition that the line $y=\alpha x + \beta$ is a tangent to the hyperbola $\large\frac{x^2}{a^2} -\frac{y^2}{b^2}$$=1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
A circle touches the x-axis and also touches the circle with centre at $(0,3)$ and radius the circle with centre at $(0,3)$ and radius 2. The locus of the center of circle is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
If the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^6}{b^2}$$=1$ and the hyperbola. $\large\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
Angle between the asymptotes of the hyperbola $3x^2+7xy+2y^2-11x-7y+10=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
If $e_1$ and $e_2$ are the eccentricities of the hyperbolas $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ and $\large\frac{y^2}{b^2}-\frac{x^2}{a^2}$$=1$ Then value of $\large\frac{1}{e_1^2}+\frac{1}{e_2^2}$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
The value of P for which the sum of squares of roots of equation $x^2-(p-2)x-(p+1)=0$ attains the least value is :
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
answered
Apr 15, 2014
by
sreemathi.v
1
answer
The vertices of the hyperbola $9x^2-16y^2-36x+96y-252=0$ are
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 11, 2014
by
meena.p
1
answer
The diameter of $16x^2-9y^2=144$ which is conjugate to $x=2y$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 11, 2014
by
meena.p
1
answer
A common tangent to $9x^2-16y^2=144$ and $x^2+y^2=9$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 11, 2014
by
meena.p
1
answer
The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half the distance between the foci is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 11, 2014
by
meena.p
1
answer
Find the asymptotes of the hyperbola. $xy=4x+3y$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 11, 2014
by
meena.p
1
answer
Find the equation of the hyperbola with focus $(2,2) \; e=2$ and directrise $x+y=9$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The minimum area of triangle formed by the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ coordinate axes is :
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The locus of the mid- points of the portion of the tangents to the ellipse intercepted between the axis is :
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
Equation of the director circle of the ellipse $x^2+2y^2+2x-12y+15=0$ is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If $3x+2y=0$ and $5x-12y=0$ are the equation of the pour of conjugates diameters, then value of eccentricity e is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The locus of the mid -point of the portion of the tangents to the ellipse intercepted between the axes is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
Tangent is drawn to the ellipse $\large\frac{x^2}{27} $$+y^2=1$ at $(3 \sqrt 3 \cos \theta, \sin \theta)$ (where $\theta \in (0, \large\frac{\pi}{2} )$) Then the value of $\theta$ such that sum of intercepts on axis made by this tangent is minimum is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
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