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The locus of the point of intersection of tangents to the parabolas y^2 = 4(x + 1) and y^2 = 8(x + 2) which are perpendicular to each other is

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The locus of the point of intersection of tangents to the parabolas y2 = 4(x + 1) and y2 = 8(x + 2) which are perpendicular to each other is 

(1) x + 6 = 0 

(2) x + 3 = 0 

(3) x + 7 = 0 

(4) x − y = 4

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1 Answer

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Best answer

Correct option (2) x + 3 = 0

Explanation:

The equation of the tangent to 

y2 = 4(x + 1) with slope, m is

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