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Recent questions in Mathematics
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JEEMAIN and NEET
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Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
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
asked
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
asked
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
asked
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
asked
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
asked
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
asked
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
asked
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
asked
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
asked
Apr 10, 2014
by
meena.p
1
answer
Tangent is drawn to the ellipse $\large\frac{x^2}{27} $$+y^2=1$ at $(3 \sqrt 3 \cos \theta, \sin \theta)$ (where $\theta \in (0, \large\frac{\pi}{2} )$) Then the value of $\theta$ such that sum of intercepts on axis made by this tangent is minimum is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
The eccentricity of an ellipse , with its centre at origin is $\large\frac{1}{2}$, If one of the directrices is $x=4$ then the equation of the ellipse is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
The lengths of the axes of the conic $9x^2+4y^2-6x+4y+1=0$ are
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
Length of latus rectum is one third of major axis:
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
If the polar of $y^2=4ax$ is always touching the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ then locus of the pole is :
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
asked
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
asked
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
asked
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}$$=1$ if
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The equation of the ellipse (referred to its axis as the axis of x and y respectively) which passes through the point $(-3,1)$ and had eccentricity $\sqrt {\large\frac{ 2}{5}}$
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
The eccentric angle of a point on the ellipse $\large\frac{x^2}{6} +\frac{y^2}{2}$$=1$ Whose distance from the centre of ellipse is 2 is
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
asked
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
asked
Apr 10, 2014
by
meena.p
1
answer
P is a point, two tangents are drawn from it to the parabola $y^2=4x$ such that the slope of one tangent is three times the slope of the other. The locus of P is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
If the vertex and the focus of a parabola are $(-1,1)$ and $(2,3)$ respectively then the equation of the directrise , is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
The angle between the tangent drawn from the point $(1,4)$ to the parabola $y^2=4x$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
The curve disturbed parametrically by $x=t^2+t+1\;y=t^2-t+1$ represents
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
If $x+y=k$ is the normal to $y^2=12x$ then k is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
If the line $x-1=0$ is the directrix of parabola $y^2-kx+8=0$ then one of the value of k is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The equation of the directrise of the parabola $y^2+4y+4x+2=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The angle between the tangents draw from the origin to the parabola $y^2=4a(x-a)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The equation of common tangent to the curves $y^2=8x$ and $xy=-1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The locus of the mid point of the line segment joining the focus to a moving point on parabola $y^2=4ax$ is another parabola with direction
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
In the parabola $y^2=4ax$ , the length of the chord passing through the vertex and inclined to the x-axis at an angle $\theta$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The normal to the parabola $y^2=8x$ at the point $(2,4)$ meets the parabola again at the point.
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Given,$(4+i)(z+\overline{z})-(3+i)(z-\overline{z})+26i=0$ then value of $\mid z\mid^2$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The focus of the parabola $y^2-x-2y+2=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If $z=\sqrt{20i-21}+\sqrt{20i+21}$,then possible value of arg(z) equals
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
If polar of the parabola $x^2=4ay$ is always touching the parabola $y^2=4ax$ then locus of the pole is :
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
If $\mid z\mid=2$,then set of points $x+iy=z-\large\frac{1}{z}$ lie on,
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Equation of the parabola if its vertex and focus are $(-2,3)$ and $(1,-1)$ respectively is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
If $\big|z-\large\frac{4}{z}\big|$$=2$,the maximum value of $\mid z\mid$ is equal to
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
argand-plane-and-polar-representation
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Line $y=mx+c$ will touch the parabola <Br> $\qquad \qquad \qquad x^2=4ay$ if,
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If $z_1+z_2+z_3=0$ and $\mid z_1\mid=\mid z_2\mid=\mid z_3\mid=1$ then value of $z_1^2+z_2^2+z_3^2$ equals
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The common tangent to the parabola $y^2=4ax$ and $x^2=4ay$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
Let $z,\omega$ be two comlex numbers such that $\overline{z}+i\overline{\omega}=0$ and $arg(z\omega)=\pi$, then $arg(z)$ equal to
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
argand-plane-and-polar-representation
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The normal at $(a,2a)$ on $y^2=4ax$ meets the curve again at $(at^2,2at)$ then the value of t is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If $\mid z+4\mid\leq 3$,then maximum value of $\mid z+1\mid$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
If the parabolas $Y^2= 4x$ and $x^2=32y$ intersect at $(16,8)$ at an angle $\theta$ then $\theta$ is equal to
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
If $\mid z^2-1\mid=\mid z\mid^2+1$ then $z$ lies on
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
If $\mid z\mid=1$ and $z\neq \pm 1$ then $\large\frac{z}{1-z^2}$ lie on
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
Let $z=\begin{vmatrix}1&2+3i&4+5i\\2-3i&6&7+8i\\4-5i&7-8i&-9\end{vmatrix}$,then
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
modulus-and-conjugate-of-a-complex-number
medium
asked
Apr 9, 2014
by
sreemathi.v
1
answer
The length of a focal chord of the parabola $y^2=4ax$ making an angle $\theta$ with the axis of the parabola is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
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