WBCHSE Mathematics for Class 11>Chapter 20 - Hyperbola>EXERCISE 5>Q 22

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11th West Bengal Board

IMPORTANT

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The equation of the hyperbola whose foci are $(0, \pm 10)$ and the length of whose latus rectum is $9 units$ is $\frac{y^{2}}{k^{2}} - \frac{x^{2}}{36} = 1$ , then find the value of $k$ .

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Important Questions on Hyperbola

HARD

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 20 - Hyperbola>EXERCISE 5>Q 23

The equation of the hyperbola having its foci at

(0, \pm \sqrt{14})

and passing through the point

(3, 4)

is

\frac{y^{2}}{k^{2}} - \frac{x^{2}}{7} = 1

, then find the value of

k^{2}

.