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Recent questions tagged hyperbola
ASK
Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm 2,0)$ is
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
easy
q59
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
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
easy
q58
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
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
easy
q57
asked
Oct 17, 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 ___________
cbse
class11
math
conic-sections
hyperbola
exemplar
sec-a
medium
q46
asked
Oct 16, 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
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 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 vertex and focus of hyperbola are $(2,3)$ and $(6,3)$ respectively and eccentricity e of the hyperbola is 2 then equation of the hyperbola is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm2,0)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 21, 2014
by
meena.p
1
answer
The eccentricity of the hyperbola $9y^2 -4x^2=36$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$. Its equation is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
Equation of the chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
Find the equation of hyperbola if the distance between the foic is $16, e=\sqrt 2$ and axis along x-axis with centre oxgin.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
Find the equation of the tangents drawn from the point $(-1,-2)$ to the hyperbola $2x^2-3y^2=6 $
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 21, 2014
by
meena.p
1
answer
A rectangular hyperbola whose cetre is C is cut by any circle of radius r in four points $P,Q,R$ and S. Then $CP^2+CQ^2+CR2+CS^2$ is equal to.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
If angle between the asymptotcs of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$is $45^{\circ}$ then value of eccentricity $e$ is :
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
Equation of chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
If $e$ and $e'$ be the eccentricities of a hyperbola and its conjugate then $ \large\frac {1}{e^2}+\frac{1}{e^{12}}$ is equal to
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 21, 2014
by
meena.p
1
answer
The locus of a point $p(\alpha, \beta)$ moving under the condition that the line $y=\alpha x + \beta$ is a tangent to the hyperbola $\large\frac{x^2}{a^2} -\frac{y^2}{b^2}$$=1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
A circle touches the x-axis and also touches the circle with centre at $(0,3)$ and radius the circle with centre at $(0,3)$ and radius 2. The locus of the center of circle is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
If the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^6}{b^2}$$=1$ and the hyperbola. $\large\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 21, 2014
by
meena.p
1
answer
Angle between the asymptotes of the hyperbola $3x^2+7xy+2y^2-11x-7y+10=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 21, 2014
by
meena.p
1
answer
If $e_1$ and $e_2$ are the eccentricities of the hyperbolas $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ and $\large\frac{y^2}{b^2}-\frac{x^2}{a^2}$$=1$ Then value of $\large\frac{1}{e_1^2}+\frac{1}{e_2^2}$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 21, 2014
by
meena.p
1
answer
The vertices of the hyperbola $9x^2-16y^2-36x+96y-252=0$ are
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 11, 2014
by
meena.p
1
answer
The diameter of $16x^2-9y^2=144$ which is conjugate to $x=2y$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 11, 2014
by
meena.p
1
answer
A common tangent to $9x^2-16y^2=144$ and $x^2+y^2=9$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 11, 2014
by
meena.p
1
answer
The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half the distance between the foci is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
asked
Apr 11, 2014
by
meena.p
1
answer
Find the asymptotes of the hyperbola. $xy=4x+3y$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 11, 2014
by
meena.p
1
answer
Find the equation of the hyperbola with focus $(2,2) \; e=2$ and directrise $x+y=9$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
An equilateral triangle is inscribed in the parabola $y^2 = 4 ax$, where one vertex isat the vertex of the parabola. Find the length of the side of the triangle.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
q8
sec-b
medium
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
q7
sec-a
easy
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the area of a triangle formed by the lines joining the vertex of the parabola $x^2 = 12y$ to the ends of its latus rectum.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
q6
sec-b
easy
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
A rod of length 12cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3cm from the end in contact with the x-axis.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-b
easy
q5
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
An arch is in the form of a semi ellipse. It is 8m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-b
q4
medium
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-b
medium
q3
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
sec-a
medium
q2
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.
cbse
class11
math
conic-sections
hyperbola
exercise11-misc
misc
q1
easy
sec-a
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Foci: $(0,\pm \sqrt {10})$ and passing through $(2,3)$.
cl37079
cl37074
cl37072
cl37068
cl37065
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
medium
sec-a
q15
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Vertices : $(\pm 7 )$, $e = \large\frac{4}{3}$
cl37085
cl37082
cl37077
cl37070
cl37062
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
easy
sec-a
q14
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Foci: $(\pm 4 0)$, Latus Rectum is of length $12$.
cl37082
cl37077
cl37070
cl37062
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
easy
sec-a
q13
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Foci: $(\pm 3\sqrt 5, 0)$, Latus Rectum is of length $8$.
cl37077
cl37070
cl37062
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
easy
sec-a
q12
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Foci: $(0,\pm 13)$ and Conjugate axis of length $24$.
cl37074
cl37072
cl37068
cl37065
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
easy
sec-a
q11
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Foci: $(\pm 5, 0)$, Transverse Axis is of length $8$.
cl37070
cl37062
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
easy
sec-a
q10
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Vertices: $(0,\pm 3)$, Foci: $(0,\pm 5)$
cl37072
cl37068
cl37065
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
easy
sec-a
q9
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equations of the hyperbola satisfying the given conditions: Vertices: $(0,\pm 5)$, Foci: $(0,\pm 8)$
cl37068
cl37065
cbse
class11
math
conic-sections
hyperbola
exercise11-4
sec4
easy
sec-a
q8
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
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