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Question

Let y=mx+c is a tangent at point P on the curve xy2x2=0, meets the curve again at Q. Then which of the following(s) is(are) not correct

A
c=0,m=3
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B
c=1,m=1
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C
c=2,m=2
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D
c=2,m=2
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Solution

The correct option is D c=2,m=2
As, y=mx+c is tangent at P and intersects the curve at Q.
Now, solving the equation of tangent with the equation of curve.
x(mx+c)2x2=0
(m2)x2+cx=0
x((m2)x+c)
x=0,cm2
As, tangent intersects the curve at two distinct points.
cm20 (x=0 is already a solution) and m20
c0 and m2

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