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Recent questions tagged ellipse
Questions
If $e$ is the eccentricity of the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}\normalsize =1\;(a < b)$,then
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
easy
q56
asked
Oct 17, 2014
by
sreemathi.v
1
answer
The length of the latus rectum of the ellipse $3x^2+y^2=12$ is
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
easy
q55
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
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q54
asked
Oct 16, 2014
by
sreemathi.v
2
answers
The equation of the ellipse having foci $(0,1),(0,-1)$ and minor axis of length $\sqrt 5$ is ____________
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q44
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 ____________
cbse
class11
math
conic-sections
ellipse
exemplar
sec-a
medium
q43
asked
Oct 16, 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
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
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
Given that the furthest the earth gets from the sun is approximately 94.56 million miles, and the eccentricity of earth's orbit is approximately 0.017, what is the closest approach of the earth to the sun.
conic-sections
cbse
math
class11
ellipse
additionalproblem
sec-a
medium
ch11
jeemain
unit11
coordinate-geometry
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Centre at $(0,0)$, major axis on y-axis and passes through $(3,2), \; (1,6)$
cl35719
cl35707
cl35701
cl35314
cl35310
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q19
easy
sec-b
asked
Apr 3, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Major axis on x-axis, passes through the points $(4,3)$ and $(6.2)$
cl35726
cl35717
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q20
easy
sec-a
asked
Apr 3, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: $b=3, c=4$, centre at origin and foci on x-axis.
cl35717
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q18
easy
sec-a
asked
Apr 3, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: $a = 4$ and Foci = $(\pm3,0)$
cl35717
cl35705
cl35703
cl35699
cl35697
cl35312
cl35308
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q17-1
easy
sec-a
asked
Apr 3, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Length of minor axis $ = 16$ and Foci $ = (0,\pm6)$
cl35707
cl35701
cl35314
cl35310
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q16
easy
sec-b
asked
Apr 3, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Length of major axis is $26$ and Foci is $(\pm5,0)$
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q15
easy
sec-a
asked
Apr 3, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Ends of Major Axis $\;(0, \pm\sqrt 5)$, Ends of Minor Axis $\;(\pm 1,0)$
cl35701
cl35314
cl35310
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q14
easy
sec-b
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Ends of Major axis $\;(\pm3,0)$, Ends of Minor Axis $\;(0, \pm 2)$
cl35703
cl35699
cl35697
cl35312
cl35308
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q13
easy
sec-a
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Vertices $\;(\pm6,0)$, Foci $\;(\pm4,0)$
cl35699
cl35697
cl35312
cl35308
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q12
easy
sec-a
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Vertices $\;(\pm 13,0)$, Foci $\;(\pm 5,0)$
cl35314
cl35310
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q11
easy
sec-b
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the equation of an ellipse that satisfies the following conditions: Vertices $\;(\pm5,0)$, Foci $\;(\pm4,0)$
cl35697
cl35312
cl35308
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q10
easy
sec-a
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $4x^2+9y^2=36$
cl35312
cl35308
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q9
easy
sec-b
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $16x^2+y^2=16$
cl35693
cl35314
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q8
easy
sec-b
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $36x^2+4y^2 = 144$
cl35314
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q7
easy
sec-b
asked
Apr 2, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{100}$$+\large\frac{y^2}{400}$$=1$
cl35310
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q6
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{49}$$+\large\frac{y^2}{36 }$$=1$
cl35308
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q5
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{25}$$+\large\frac{y^2}{100}$$=1$
cl35306
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q4
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{16}$$+\large\frac{y^2}{9 }$$=1$
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q3
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{4}$$+\large\frac{y^2}{25}$$=1$
cl35304
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q2
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\large\frac{x^2}{36}$$+\large\frac{y^2}{16}$$=1$
math
cbse
class11
ch11
exercise11-3
conic-sections
ellipse
q1
easy
sec-b
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the locus of mid-points of the portions of the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ intercepted between the axis?
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
q96
difficult
asked
Feb 7, 2014
by
sreemathi.v
1
answer
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