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Question

If the line xy+2=0 is a normal to the parabola y26y4x+k=0, then find k.

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Solution

We have,
xy+2=0[slope=1]y26y4x+k=02ydydx6dydx4=0dydx=42y6dxdy=62y4=1y=1thatgivesx=1fromwhichk=1

Hence, this is the answer.

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