Recent questions in CBSE XI

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

If the lines $2x-3y=5$ and $3x-4y=7$ are the diameters of a circle of area 154 square units,then obtain the equation of the circle.

asked Oct 13, 2014 by sreemathi.v

1 answer

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

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the eccentricity of the hyperbola $9y^2-4x^2=36$ .

asked Oct 10, 2014 by sreemathi.v

1 answer

If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$ ,then obtain equation of the hyperbola.

asked Oct 10, 2014 by sreemathi.v

1 answer

If the line $y=mx+1$ is tangent to the parabola $y^2=4x$ then find the value of $m$ .

asked Oct 10, 2014 by sreemathi.v

1 answer

If the points $(0,4)$ and $(0,2)$ are respectively the vertex and focus of a parabola,then find the equation of the parabola.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the length of the line-segment joining the vertex of the parabola $y^2=4ax$ and a point on the parabola where the line-segment makes an angle $\theta$ to the $x$ -axis.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the coordinates of a point on the parabola $y^2 = 8x$ whose focal distance is 4.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the distance between the directrices of the ellipse $\large\frac{x^2}{36}+\frac{y^2}{20}$ $=1$ .

asked Oct 9, 2014 by sreemathi.v

1 answer

Find the equation of ellipse whose eccentricity is $\large\frac{2}{3}$ , latus rectum is 5 and the centre is (0, 0).

asked Oct 9, 2014 by sreemathi.v

1 answer

If the eccentricity of an ellipse is $\large\frac{5}{8}$ and the distance between its foci is 10, then find latus rectum of the ellipse.

asked Oct 9, 2014 by sreemathi.v

1 answer

Given the ellipse with equation $9x^2+25y^2=225$ ,find the eccentricity and foci.

asked Oct 9, 2014 by sreemathi.v

1 answer

If the latus rectum of an ellipse is equal to half of minor axis,then find its eccentricity.

asked Oct 9, 2014 by sreemathi.v

1 answer

Find the equation of a circle concentric with the circle $x^2+y^2-6x+12y+15=0$ and has double of its area.

asked Oct 9, 2014 by sreemathi.v

1 answer

If the line $y=\sqrt 3x+k$ touches the circle $x^2+y^2=16$ ,then find the value of $k$ .

asked Oct 8, 2014 by sreemathi.v

1 answer

Find the equation of the circle having $(1,-2)$ as its centre and passing through $3x+y=14,2x+5y=18$ .

asked Oct 8, 2014 by sreemathi.v

1 answer

If one end of a diameter of the circle $x^2+y^2-4x-6y+11=0$ is $(3,4)$ ,then find the coordinate of the other end of the diameter.

asked Oct 8, 2014 by sreemathi.v

1 answer

Find the equation of a circle which touches both the axes and the line $3x-4y+8=0$ and lies in the third quadrant.

asked Oct 8, 2014 by sreemathi.v

1 answer

how to crack out maths trigonometric function??

asked Aug 29, 2014 by aishwaryalakshmi44

1 answer

Write the statement "It is necessary to have a password to log on to the server." in the form if $p$ then $q$ .

asked Aug 16, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive of the statement "If it is hot outside then you feel thirsty."

asked Aug 16, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive of the statement "I go to the beach whenever it is sunny day."

asked Aug 16, 2014 by rvidyagovindarajan_1

1 answer

Write the converse and contra positive of the statement "A positive integer is prime only if it has no divisors other than 1 and itself."

asked Aug 14, 2014 by rvidyagovindarajan_1

1 answer

IQ of a person is given by the formula $IQ= \large\frac{MA}{CA}$ $\times 100$ Where MA is a mental age and CA is chronological age. If $80 \leq IQ \leq 140$ for a group of 12 years old children find the range of their mental age .

asked Aug 5, 2014 by meena.p

1 answer

How many liters of water will have to be added to $1125$ liters of the $45\%$ solution of acid so that the resulting mixture will contain more than $25 \%$ but less than $30\%$ acid content ?

asked Aug 5, 2014 by meena.p

1 answer

A solution of $8 \%$ basic acid is to be diluted by adding $2 \%$ boic acid. Solution to it. The resulting mixture is to be more than $4 \%$ but less than $6 \%$ boric acid. If we have 640 litres of $8^{\circ} \%$ Solution , how many litres of $2 \%$ solution is to be added ?

asked Aug 5, 2014 by meena.p

1 answer

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