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Questions >> JEEMAIN and NEET >> Mathematics >> Class11

Class11

Relations and Functions

Trigonometric Functions

Complex Numbers and Quadratic Equations

Permutations and Combinations

Bionomial Theorem and Simple Applications

Sequence and Series

Coordinate Geometry: Straight Lines

Coordinate Geometry: Conic Sections

Coordinate Geometry

Limits and Derivatives

Mathematical Reasoning

If the line $x-1=0$ is the directrix of parabola $y^2-kx+8=0$ then one of the value of k is

asked Apr 10, 2014 by meena.p

1 answer

The equation of the directrise of the parabola $y^2+4y+4x+2=0$ is

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

asked Apr 10, 2014 by meena.p

1 answer

The equation of common tangent to the curves $y^2=8x$ and $xy=-1$ is

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

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

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.

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

asked Apr 9, 2014 by sreemathi.v

1 answer

The focus of the parabola $y^2-x-2y+2=0$ is

asked Apr 9, 2014 by meena.p

1 answer

If $z=\sqrt{20i-21}+\sqrt{20i+21}$ ,then possible value of arg(z) equals

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 :

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,

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

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

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,

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

asked Apr 9, 2014 by sreemathi.v

1 answer

The common tangent to the parabola $y^2=4ax$ and $x^2=4ay$ is

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

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

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

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

asked Apr 9, 2014 by meena.p

1 answer

If $\mid z^2-1\mid=\mid z\mid^2+1$ then $z$ lies on

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

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

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

asked Apr 9, 2014 by meena.p

1 answer

If $\omega$ is a complex root of unity, one root of the equation $\begin{vmatrix}x+1 &\omega&\omega^2\\\omega&x+\omega^2&1\\\omega^2&1&x+\omega\end{vmatrix}=0$ is

asked Apr 9, 2014 by sreemathi.v

1 answer

The ratio in which the line segment joining the points $(4,-6)$ and $(3,1)$ is divided by the parabola $y^2=4ax$ is

asked Apr 9, 2014 by meena.p

1 answer

$z=\large\frac{1}{1-\cos \theta+i\sin \theta}$ .Re(z) is equal to

asked Apr 9, 2014 by sreemathi.v

1 answer

Given $x=2+5i$ , the value of $x^3-5x^2+33x-19$ is

asked Apr 9, 2014 by sreemathi.v

1 answer

Find the points of the conic $y=x^2+7x+2$ which is nearest to the line $3x-y-3=0$

asked Apr 9, 2014 by meena.p

1 answer

If $\omega=\large\frac{z-\perp}{z+1}$ $\quad (z\neq -\perp)$ and $\mid z\mid =\perp$ then $Re(\omega)$ equals

asked Apr 9, 2014 by sreemathi.v

1 answer

Find the equation of the chord of the parabola $y^2=12x$ which is bisected at $(5,-7)$

asked Apr 9, 2014 by meena.p

1 answer

$z$ and $\omega$ are two non zero complex numbers such that $\mid z\mid=\mid \omega\mid$ and $arg(z)+arg(\omega)=\pi$ .Then $z$ equals

asked Apr 9, 2014 by sreemathi.v

1 answer

If $z\neq 0$ is a complex no having arg= $\large\frac{\pi}{4}$ ,then

asked Apr 9, 2014 by sreemathi.v

1 answer

The radius of the circle passing through the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^2}{9}$ $=1$ and having its center at $(0,3)$ is

asked Apr 9, 2014 by meena.p

1 answer

Let $a,b$ be real numbers between $0\; and\; 1$ such that $z_1=1+bi,z_2=a+i$ and $z_3=0$ forms an equilateral triangle then

asked Apr 9, 2014 by sreemathi.v

1 answer

The equation $2x^2+3y^2-8x-18y+35=k$ represents

asked Apr 9, 2014 by meena.p

1 answer

The complex numbers $\sin x+i\cos 2x$ and $\cos x-i\sin 2x$ are conjugate for

asked Apr 9, 2014 by sreemathi.v

1 answer

If complex numbers $z_1,z_2,z_3$ represents vertices of an equilateral triangle and $\mid z_1\mid=\mid z_2\mid=\mid z_3\mid$ then

asked Apr 9, 2014 by sreemathi.v

1 answer

The circle passing through $(1,-2)$ and touching the axis of x at $(3,0)$ also passes through the point.

asked Apr 9, 2014 by meena.p

1 answer

The length of the diameter of the circle which touches the x-axis at the point $(1,0)$ and passes through the point $(2,3)$ is

asked Apr 9, 2014 by meena.p

1 answer

The circle $x^2+y^2=4x+8y+5$ intersects the line $3x-4y=m$ at the two distinct points if

asked Apr 9, 2014 by meena.p

1 answer

If a circle passes through the points $(a,b)$ and cuts the circle $x^2+y^2=4$ orthogonally, then the locus of its centre is

asked Apr 9, 2014 by meena.p

1 answer

The two circles $x^2+y^2=ax$ and $x^2+y^2=c^2\; (c > 0)$ touch each other if

asked Apr 9, 2014 by meena.p

1 answer

Intercept on the line $y=x$ by the circle $x^2+y^2-2x=0$ is $AB$ equation of the circle on AB as a diameter is :

asked Apr 9, 2014 by meena.p

1 answer

If the lines $2x+3y+1=0,\qquad 3x-y-4=0$ lie along diameter of a circle of circumference $10\pi$ then the equation of the circle is :

asked Apr 8, 2014 by meena.p

1 answer

The lines $2x-3y=5$ and $3x-4y=7$ are diameters of a circle having area as $154$ sq.units. The equation of the circle is .

asked Apr 8, 2014 by meena.p

1 answer

If the two circles $(x-1)^2+(y-3)^2=r^2$ and $x^2+y^2-8x+2y+8=0$ intersect in two distinct point then

asked Apr 8, 2014 by meena.p

1 answer

The centre of the circle passes through $(0,0)$ and $(1,0)$ and touching the circle $x^2+y^2=9$ is

asked Apr 8, 2014 by meena.p

1 answer

If the chord $y=mx+1$ of the circle $x^2+y^2=1$ substance on angle of measures $45^{\circ}$ at the major segment of the circle then value of m is

asked Apr 8, 2014 by meena.p

1 answer

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