Q.

The length of  tangent of  the curve 2x2+3xy−2y2=8  at (2, 3) is

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a

3252

b

332517

c

172

d

1817

answer is B.

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Detailed Solution

dydx=−(4x+3y)3x−4y⇒m=(dydx)   (2, 3) =  176 ,length of tangent = y11+m2m= 31761+28936=317325
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The length of  tangent of  the curve 2x2+3xy−2y2=8  at (2, 3) is