If the tangent to the curve, y = eˣ at a point (c, eᶜ) and the normal to the parabola, y² = 4x at the point (1,2) intersect at the same point on the x-axis, then the value of c is
If the tangent to the curve, y = eˣ at a point (c, eᶜ) and the normal to the parabola, y² = 4x at the point (1,2) intersect at the same point on the x-axis, then the value of c is
Asked by Shiksha User
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1 Answer
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For (1,2) of y² = 4x => t=1, a=1
normal => tx+y = 2at + at³
=> x+y=3 intersect x-axis at (3,0)
y = e? => dy/dx = e?
tangent => y-e? = e? (x-c)
at (3,0) => 0-e? = e? (3-c) => c=4
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