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Conic Section

Short Answer Type

171. Find the equation of the hyperbola under the following condition:
Vertices (± 2, 0), Foci (± 3, 0)

88 Views

172. Find the equation of the hyperbola under the following condition:
Vertices (0, ± 5), Foci (0, ± 8)

76 Views

173. Find the equation of the hyperbola under the following condition:
Foci (0, + 12), the length of latus-rectum 36.

98 Views

174. Find the equation of the hyperbola under the following condition:
Foci ( ± 5, 0), the transverse axis of length 8.

86 Views

175. Find the equation of the hyperbola under the following condition:
Foci (0, + 13), the conjugate axis of length 24.

87 Views

176. Find the equation of the hyperbola under the following condition:
Foci

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eccentricity e = 2.

101 Views

177.

Find the equation of a hyperbola whose latus rectum is 8 and eccentricity is $space fraction numerator 3 over denominator square root of 5 end fraction.$

127 Views

Long Answer Type

178. Find the equation of the hyperbola in the standard form, given that the distance between the foci is 5, the conjugate axis is of length 3, the foci lie on x-axis.

Solution not provided.
Ans. $9 straight x squared minus 16 straight y squared equals 36$

87 Views

179. Find the equation of hyperbola in the standard form, given that the vertices lie along the x-axis, the conjugate axis is 5 and passes through the point (1, –2).

83 Views

180.

The foci of a hyperbola coincide with the foci of ellipse $straight x squared over 25 plus straight y squared over 9 equals 1.$ Find the equation of the hyperbola if its eccentricity is 2.

224 Views