Question:
The equation of a tangent to the parabola $y^2 = 8x$ is $y = x + 2$. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is
The equation of a tangent to the parabola $y^2 = 8x$ is $y = x + 2$. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is
Updated On: Aug 15, 2022
- $(-1, 1)$
- $(0, 2)$
- $(2, 4)$
- $(-2, 0)$
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The Correct Option is D
Solution and Explanation
Point must be on the directrix of the parabola. Hence the point is $(-2, 0).$
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