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The shortest distance between the lines ...

The shortest distance between the lines `y-x=1` and the curve `x=y^2` is

A

`3sqrt2//5`

B

`sqrt3//4`

C

`3sqrt2//8`

D

`2sqrt3//8`

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
  1. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  2. A parabola has the origin as its focus and the line x""=""2 as the ...

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  3. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  4. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  5. Statement 1: An equation of a common tangent to the parabola y^2=16...

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  6. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

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  7. Statement-1: The slopw of the tangent at any point P on a parabola, wh...

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  8. Statement 1 : The line x-2y=2 meets the parabola, y^2 + 2x = 0 only at...

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  9. The point of intersection of the normals to the parabola y^2=4x at the...

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  10. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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  11. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

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  12. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

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  13. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

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  14. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  15. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

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  16. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

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  17. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

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  18. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

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

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

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