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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

`sqrt3/4`

B

`(3sqrt2)/8`

C

`(2sqrt3)/8`

D

`(3sqrt2)/5`

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ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. The normal drawn at a point (at(1)^2 2at1) of the parabola y^2 = 4ax ...

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  2. The length of the normal chord which subtends an angle of 90^(@) at th...

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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. The normal chord of the parabola y^2 = 4ax at a point whose ordinate i...

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  5. If the normal to the parabola y^2 = 4ax at the point P("at"^2 2at) c...

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  6. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

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  7. The normal at the point P( "at"1^2,2at1) meets the parabola y^2 = 4a...

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  8. If a normal chord subtends a right angle at the vertex of the parabola...

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  9. If the normals at points 't1' and 't2' meet on the parabola, then

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  10. The equation of a normal to the parabola y=x^(2)-6x+6 which is perpend...

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  11. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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  12. If the point (at^2,2at) be the extremity of a focal chord of parabola ...

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  13. A triangle ABC of area Delta is inscribed in the parabola y^2 = 4ax s...

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  14. The locus of the middle points of the focal chord of the parabola y^(2...

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  15. The locus of the poles of focal chords of the parabola y^2 = 4ax is

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  16. A focal chord of parabola y^(2)=4x .is inclined at an angle of (pi)/(4...

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  17. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

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  18. Find the locus of the mid-points of the chords of the parabola y^2=4ax...

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  19. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

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  20. If the normals any point to the parabola x^(2)=4y cuts the line y = 2 ...

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