If the common tangent to the | Conic Section

JEE MAIN 2020

05-09-2020 S1

Question

If the common tangent to the parabolas, $y^2=4 x$ and $x^2=4 y$ also touches the circle, $x^2+y^2=c^2$, then c is equal to:

Select the correct option:

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{2 \sqrt{2}}$

$\frac{1}{\sqrt{2}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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