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Find the equation of hyperbola : Whose center is {(-{3},{2})},

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Find the equation of hyperbola : Whose center is $(- 3, 2),$ one vertex is $(- 3, 4),$ and eccentricity is $\frac{5}{2} ˙$

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Find the equation of hyperbola : Whose center is

(- 3, 2),

one vertex is

(- 3, 4),

and eccentricity is

\frac{5}{2} ˙

5 mins ago

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Practice questions from similar books

Question 1

An ellipse and a hyperbola have their principal axes along the coordinate axes and have a common foci separated by distance

23 ˙

The difference of their focal semi-axes is equal to 4. If the ratio of their eccentricities is 3/7 , find the equation of these curves.

View solution

Question 2

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is :(A)

\frac{4}{3}

(B)

\frac{4}{3}

(C)

\frac{2}{3}

(D)

3

View solution

Question 3

A normal to the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

meets the axes at

M a n d N

and lines

M P

and

N P

are drawn perpendicular to the axes meeting at

P ˙

Prove that the locus of

P

is the hyperbola

a^{2} x^{2} - b^{2} y^{2} = (a^{2} + b^{2}) ˙

View solution

Question 4

let the eccentricity of the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

be reciprocal to that of the ellipse

x^{2} + 4 y^{2} = 4 .

if the hyperbola passes through a focus of the ellipse then: (a) the equation of the hyperbola is

\frac{x ^{2}}{3} - \frac{y ^{2}}{2} = 1

(b) a focus of the hyperbola is

(2, 0)

\frac{5}{3}

(d) the equation of the hyperbola is

x^{2} - 3 y^{2} = 3

View solution

Question Text

Find the equation of hyperbola : Whose center is

(- 3, 2),

one vertex is

(- 3, 4),

and eccentricity is

\frac{5}{2} ˙

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Find the equation of hyperbola : Whose center is (−3,2), one vertex is (−3,4), and eccentricity is 25​˙

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Practice questions from similar books

Find the equation of hyperbola : Whose center is $(- 3, 2),$ one vertex is $(- 3, 4),$ and eccentricity is $\frac{5}{2} ˙$