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Recent questions in CBSE XI
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CBSE XI
CBSE XI
Math
Physics
Chemistry
Biology
The equation of the circle circumscribing the triangle whose sides are the lines $y=x+2,3y=4x,2y=3x$ is _____________
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q42
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 __________
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q41
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.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
medium
q40
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}$$=2$ at the point $(3,2)$
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q39
asked
Oct 15, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False : If $P$ is a point the ellipse $\large\frac{x^2}{16}+\frac{y^2}{25}$$=1$ whose foci are $S$ and $S'$,then $PS+PS'=8$.
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
easy
q38
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 $ln=am^2$
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q37
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 $x^2+y^2-2x+6y+1=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
q36
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.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q35
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 $5$.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
medium
q34
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 $x^2+y^2+6x+2y=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-a
easy
q33
asked
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of the hyperbola with foci $(0,\pm\sqrt{10})$,passing through $(2,3)$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
medium
q32-c
asked
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of the hyperbola with vertices $(0,\pm 7),e=\large\frac{4}{3}$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
easy
q32-b
asked
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of the hyperbola with vertices $(\pm 5,0)$,foci $(\pm 7,0)$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
easy
q32-a
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.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
medium
q31
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 $y = 9$.
cbse
class11
math
conic-sections
exemplar
sec-b
easy
q30
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.
cbse
class11
math
conic-sections
exemplar
sec-b
medium
q29
asked
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Focus at $(-1,-2)$,directrix $x-2y+3=0$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-c
asked
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Vertex at $(0,4)$,focus at $(0,2)$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-b
asked
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Directrix $x=0$,focus at $(6,0)$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-a
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 $y=x-1$.
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q27
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 $(5,5)$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q26
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 $2x-5y+18=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q25
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 $y-4x+3=0$.
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q24
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.
cbse
class11
math
conic-sections
circle
exemplar
sec-c
medium
q23
asked
Oct 13, 2014
by
sreemathi.v
1
answer
Find the equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm 2,0)$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
medium
q22
asked
Oct 10, 2014
by
sreemathi.v
1
answer
Find the eccentricity of the hyperbola $9y^2-4x^2=36$.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
easy
q21
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.
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-b
medium
q20
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 $m$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q19
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.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q18
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.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
difficult
q17
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.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q16
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$.
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
easy
q15
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).
cbse
class11
math
conic-sections
ellipse
exemplar
sec-b
medium
q14
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.
cbse
class11
math
conic-sections
ellipse
exemplar
sec-b
medium
q13
asked
Oct 9, 2014
by
sreemathi.v
1
answer
Given the ellipse with equation $9x^2+25y^2=225$,find the eccentricity and foci.
cbse
class11
math
conic-sections
ellipse
exemplar
sec-b
easy
q12
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.
cbse
class11
math
conic-sections
ellipse
exemplar
sec-b
medium
q11
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.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
difficult
q10
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$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
difficult
q9
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$.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q8
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.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q7
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.
cbse
class11
math
conic-sections
circle
exemplar
sec-b
medium
q6
asked
Oct 8, 2014
by
sreemathi.v
1
answer
how to crack out maths trigonometric function??
cbse
class11
trigonometric-functions
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$.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-a
easy
q3-1
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."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-b
easy
q2-3
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."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-b
easy
q2-2
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."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-b
easy
q2-1
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 .
cbse
math
class11
ch6
linear-inequalities
misc
q14
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 ?
cbse
math
class11
ch6
linear-inequalities
misc
q13
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 ?
cbse
math
class11
ch6
linear-inequalities
misc
q12
asked
Aug 5, 2014
by
meena.p
1
answer
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