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If the common tangents to the parabola `x^2 = 4y` and the circle `x^2 + y^2 = 4` intersectat the point P, then the distance of P from the origin, is.

A

`sqrt2+1`

B

`2(3+2sqrt2)`

C

`2(sqrt2+1)`

D

`3+2sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  7. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

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  8. P and Q are two distinct points on the parabola, y^2 = 4x with paramet...

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  9. If the common tangents to the parabola x^2 = 4y and the circle x^2 + y...

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  10. If y=mx+c is the normal at a point on the parabola y^(2)=8x whose foca...

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  11. The radius of a circle, having minimum area, which touches the curve y...

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  15. The length of the chord of the parabola x^(2) = 4y having equations x ...

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  16. If the parabolas y^2 = 4b (x - c) " and " y^2 = 8ax have a common t...

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  17. Let A(4,-4) and B(9,6) be points on the parabola y^(2)=4x. Let C b...

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  18. Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the pa...

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  19. If the area of the triangle whose one vertex is at the vertex of the p...

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  20. Equation of a common tangent to the parabola y^(2)=4x and the hyperbol...

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