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The straight line x+y=k will be a tangent to the curve 16x2+9y2=144, if k=

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a

±8

b

±5

c

±10

d

±4

answer is B.

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Detailed Solution

16x2+9y2=144 ............(1) x+y=k ................(2)If y=mx+c is tangent of equation x2a2+y2b2=1Then c2=a2m2+b2a2=9, b2=16, m=−1 ⇒k2=9+16=25 k=±5

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