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Show that the equation 9x^2-16 y^2-18 x+...

Show that the equation 9`x^2-16 y^2-18 x+32 y-151=0` represents a hyperbola. Find the coordinates of the centre, lengths of the axes, eccentricity, latus-rectum, coordinates of foci and vertices, equations of the directrices of the hyperbola.

A

The length of the transverse axes is 4

B

Length of latus rectum is 9

C

Equation of directrix is `x=(21)/(5)` and `x=(11)/(5)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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