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Questions >> CBSE XI >> Math

Math

Relations and Functions

Trigonometric Functions

Principle of Mathematical Induction

Complex Numbers and Quadratic Equations

Linear Inequalities

Permutations and Combinations

Binomial Theorem

Sequences and Series

Introduction to Three Dimensional Geometry

Limits and Derivatives

Mathematical Reasoning

$2\sin ^2\large\frac{3\pi}{4}$ $+2\cos^2\large\frac{\pi}{4}$ $+2\sec^2\large\frac{\pi}{3}$ =

asked Jul 3, 2018 by pady_1

1 answer

Find all pairs of consecutive even possitive integers both of which are lar

asked May 23, 2017 by sharma.pankaj2500

1 answer

3x2−11xy+10y2−7x+13y+k=0 denotes a pair of straight lines find the value of k

asked May 12, 2015 by harsha260997

1 answer

if the pair of straight lines x^2-2pxy-y^2=0 and x^2-2qxy-y^2=0 be such that each pair bisects the angles between the other pair prove that pq= -1

asked Feb 21, 2015 by tanvirahmedodesk

1 answer

Let $(x_1,y_1)$ be the point of intersection of the tangent to the parabola $y^2=4ax$ at the points $t_1$ and $t_2$ . Then $x_1=a{t_1}{t_2}$ and $y_1=a(t_1+t_2)$

asked Feb 20, 2015 by tanvirahmedodesk

1 answer

how to remember equation of tangent . can you show how did you find out Equation of tangent at $(a{t_1}^2,2a{t_1})$ is

asked Feb 19, 2015 by tanvirahmedodesk

1 answer

locus of the point of intersection of tangent to $y^2=4ax$ which intercept a constant length d on the directrix

asked Jan 17, 2015 by tanvirahmedodesk

1 answer

Find equation the circum circle of triangle ABC with A(1,0),B(-1,0)C(0,0)

asked Oct 19, 2014 by iyerrajen

1 answer

Show that the point $(x,y)$ given by $x=\large\frac{2at}{1+t^2}$ and $y=\large\frac{a(1-t^2)}{1+t^2}$ lies on a circle for all real values of $t$ such that $-1\leq t \leq 1$ where $a$ is any given real numbers.

asked Oct 17, 2014 by sreemathi.v

1 answer

Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm 2,0)$ is

asked Oct 17, 2014 by sreemathi.v

1 answer

The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$ .Its equation is

asked Oct 17, 2014 by sreemathi.v

1 answer

The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half of the distance between the foci is

asked Oct 17, 2014 by sreemathi.v

1 answer

If $e$ is the eccentricity of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}\normalsize =1\;(a < b)$ ,then

asked Oct 17, 2014 by sreemathi.v

1 answer

The length of the latus rectum of the ellipse $3x^2+y^2=12$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of the ellipse whose focus is $(1,-1)$ ,the directrix the line $x-y-3=0$ and eccentricity $\large\frac{1}{2}$ is

asked Oct 16, 2014 by sreemathi.v

2 answers

If the vertex of the parabola is the point $(-3,0)$ and the directrix is the line $x+5=0$ ,then its equation is

asked Oct 16, 2014 by sreemathi.v

1 answer

If the parabola $y^2=4ax$ passes through the point $(3,2)$ ,then the length of its latus rectum is

asked Oct 16, 2014 by sreemathi.v

1 answer

If the focus of a parabola is $(0,-3)$ and its directrix is $y=3$ ,then its equation is

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length $3a$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

Equation of the circle with centre on the $y$ -axis and passing through the origin and the point $(2,3)$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

Equation of a circle which passes through $(3,6)$ and touches the axes is

asked Oct 16, 2014 by sreemathi.v

1 answer

The area of the circle centred at $(1,2)$ and passing through $(4,6)$ is

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of the hyperbola with vertices at $(0,\pm 6)$ and eccentricity $\large\frac{5}{3}$ is _ and its foci are ___

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of the parabola having focus at $(-1,-2)$ and the directrix $x-2y+3=0$ is _________

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of the ellipse having foci $(0,1),(0,-1)$ and minor axis of length $\sqrt 5$ is ____________

asked Oct 16, 2014 by sreemathi.v

1 answer

An ellipse is described by using an endless string which is passed over two pins.If the axes are 6 cm and 4 cm,the length of the string and distance between the pins are ____________

asked Oct 16, 2014 by sreemathi.v

1 answer

The equation of the circle circumscribing the triangle whose sides are the lines $y=x+2,3y=4x,2y=3x$ is _____________

asked Oct 15, 2014 by sreemathi.v

1 answer

The equation of the circle having centre at $(3,-4)$ and touching the line $5x+12y-12=0$ is __________

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : The locus of the point of intersection of lines $\sqrt 3x-y-4\sqrt 3k=0$ and $\sqrt 3kx+ky-4\sqrt 3=0$ for different value of $k$ is a hyperbola whose eccentricity is 2.

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : The line $2x+3y=12$ touches the ellipse $\large\frac{x^2}{9}+\frac{y^2}{4}$ $=2$ at the point $(3,2)$

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : If $P$ is a point the ellipse $\large\frac{x^2}{16}+\frac{y^2}{25}$ $=1$ whose foci are $S$ and $S'$ ,then $PS+PS'=8$ .

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : The line $lx+my+n=0$ will touch the parabola $y^2=4ax$ if $ln=am^2$

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : The point $(1,2)$ lies inside the circle $x^2+y^2-2x+6y+1=0$ .

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False: If the line $lx+my=1$ is a tangent to the circle $x^2+y^2=a^2$ ,then the point $(l,m)$ lies on a circle.

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False:The shortest distance from the point $(2,-7)$ to the circle $x^2+y^2-14x-10y-151=0$ is equal to $5$ .

asked Oct 15, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False: The line $x+3y=0$ is a diameter of the circle $x^2+y^2+6x+2y=0$ .

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the equation of the hyperbola with foci $(0,\pm\sqrt{10})$ ,passing through $(2,3)$ .

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the equation of the hyperbola with vertices $(0,\pm 7),e=\large\frac{4}{3}$ .

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the equation of the hyperbola with vertices $(\pm 5,0)$ ,foci $(\pm 7,0)$ .

asked Oct 15, 2014 by sreemathi.v

1 answer

Show that the set of all points such that the difference of their distances from $(4, 0)$ and $(-4, 0)$ is always equal to $2$ represent a hyperbola.

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of the set of all points whose distance from $(0, 4)$ are $\large\frac{2}{3}$ of their distance from the line $y = 9$ .

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of the set of all points the sum of whose distances from the points $(3, 0)$ and $(9, 0)$ is 12.

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of the following parabola : Focus at $(-1,-2)$ ,directrix $x-2y+3=0$ .

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of the following parabola : Vertex at $(0,4)$ ,focus at $(0,2)$ .

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of the following parabola : Directrix $x=0$ ,focus at $(6,0)$ .

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of a circle passing through the point $(7,3)$ having radius $3$ units and whose centre lies on the line $y=x-1$ .

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of a circle of radius 5 which is touching another circle $x^2+y^2-2x-4y-20=0$ at $(5,5)$ .

asked Oct 14, 2014 by sreemathi.v

1 answer

if z1=4+7i, z2=1-i for what value of lamda is z1+lamdaz2, a purely real number

asked Oct 13, 2014 by akilarajappa1998

1 answer

Find the equation of a circle whose centre $(3,-1)$ and which cuts off a chord of length $6$ units on the line $2x-5y+18=0$ .

asked Oct 13, 2014 by sreemathi.v

1 answer

Find the equation of the circle which passes through the points $(2,3)$ and $(4,5)$ and the centre lies on the straight line $y-4x+3=0$ .

asked Oct 13, 2014 by sreemathi.v

1 answer

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