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Find the equation of the hyperbola in e...

Find the equation of the hyperbola in each of the cases given below :
(i) foci ` ( -+2,0)` eccentricity = `3/2`
(ii) Centre ( 2, 1) one of the foci (8,1) and corresponding directrix x = 4.
(iii) Passing through ( 5,-2) and length of the transverse axis along x axis and of length 8 units.

Text Solution

Verified by Experts

The correct Answer is:
(i) ` (9x^(2))/16 - (9y^(2))/20 =1 `
(ii) `((x-2)^(2))/12 - ((y-1)^(2))/24 =1`
(iii) ` x^(2)/1- (9y^(2))/64 =1`
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