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$P_{1} : y^{2} = 49 x$ and $P_{2} : x^{2} = 4 a y$ are two parabolas.
Equation of a tangent to the parabola $P_{1}$ at a point where it intersects the parabola $P_{2}$ is:

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2x−y−4a=0

y=0

x−2y+4a=0

x−y=0

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detailed solution

Correct option is C

Two parabolas intersect at the points (0, 0) and (4a, 4a).Equation of the tangent to P1 at (0, 0) is x = 0 and at (4a, 4a) is y(4a)=2a(x+4a)⇒ x−2y+4a=0

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P1:y2=49x and P2:x2=4ay are two parabolas. Equation of a tangent to the parabola P1 at a point where it intersects the parabola P2 is:

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Ready to Test Your Skills?

free study material

$P_{1} : y^{2} = 49 x$ and $P_{2} : x^{2} = 4 a y$ are two parabolas.
Equation of a tangent to the parabola $P_{1}$ at a point where it intersects the parabola $P_{2}$ is: