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Recent questions and answers in Class11
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JEEMAIN and NEET
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Class11
Class11
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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
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 Â½ $ 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
The eccentricity of an ellipse , with its centre at origin is $\large\frac{1}{2}$, If one of the directrices is $x=4$ then the equation of the ellipse is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The lengths of the axes of the conic $9x^2+4y^2-6x+4y+1=0$ are
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
Length of latus rectum is one third of major axis:
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If the polar of $y^2=4ax$ is always touching the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ then locus of the pole is :
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If $y=mx+c$ is a tangent to the ellipse $x^2+2y^2=6$ then $c^2$ is equal to
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The number of normal that can be drawn from a point to a given ellipse is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The line $x \cos \alpha + y \sin \alpha =p$ is a tangent to the ellipse. $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ if
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The equation of the ellipse (referred to its axis as the axis of x and y respectively) which passes through the point $(-3,1)$ and had eccentricity $\sqrt {\large\frac{ 2}{5}}$
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The eccentric angle of a point on the ellipse $\large\frac{x^2}{6} +\frac{y^2}{2}$$=1$ Whose distance from the centre of ellipse is 2 is
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
Find the equation of tangent to the ellipse $3x^2+4y^2=12$ which are parallel to the line $y+2x=4$
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
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