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The point on the curve y^2 = x, the tang...

The point on the curve `y^2 = x`, the tangent at which makes an angle `45^@` with x-axis will be given by

A

`(1/2,1/4)`

B

`(1/2,1/2)`

C

`(2,4)`

D

`(1/4,1/2)`

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The correct Answer is:
D
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Let P be the point (1,0) and Q a point on the locus y^2 = 8x. The locu...

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  2. If a tangent to the parabola y^2 = ax makes an angle 45^@ with x-axis,...

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  3. The point on the curve y^2 = x, the tangent at which makes an angle 45...

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  4. The portion of a tangent to a parabola cut off between the directrix a...

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  5. y=x+2 is any tangent to the parabola y^2=8xdot The point P on this tan...

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  6. If y = mx +c touches the parabola y^2 = 4a(x+ a), then

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  7. The focal chord of y^2 = 16x is tangent to (x-6)^2 + y^2 = 2, then the...

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  8. The locus of point from which the two tangents drawn to a parabola be ...

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  9. If the chord of contact of tangents from a point P to the parabola y^...

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  10. Tangents are drawn from the point P to the parabola y^2=8x such that ...

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  11. Two tangents are drawn from the point (-2, – 1) to the parabola y^2 =...

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  12. If y+3= m1 (x+2) and y+3= m2 (x+2) are two tangents to the parabola y...

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  13. The equations of common tangent to the parabola y^2 = 4ax and x^2 = 4b...

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  14. If the line x+y=1 touches the parabola y^2 - y+x=0, then the co-ordina...

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  15. The point of intersection of the tangents at the ends of the latus re...

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  16. The equation of tangents to the parabola y^2 = 4ax at the ends of latu...

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  17. Two tangents of the parabola y^2 = 8x, meet the tangent at its vertex ...

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  18. If the tangent at the point P (2,4) to the parabola y^2 = 8x meets the...

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  19. The locus of the point of intersection of tangents to the parabola y^2...

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  20. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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