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Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Parabola › Find the tangent to y² = 4x that has slope 1.

Find the tangent to y² = 4x that has slope 1.

Ay = x + 2
By = x + 1
Cy = x + 4
Dy = x - 1
Answer & Solution
Correct answer: B. y = x + 1
For y = mx + c to touch y² = 4ax we need c = a/m, and with a = 1, m = 1 this gives c = 1.
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