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The point on the curve y^(2)=x the tange...

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

A

(2,4)

B

(1/2,1/2)

C

(1/2,1/4)

D

(1/4,1/2)

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The point of contact of x-2y+4a=0 to the parabola y^(2)=4ax is

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  2. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

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  3. The point on the curve y^(2)=x the tangent at which makes an angle of ...

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  4. The tangent to y^(2)=ax makes an angle 45^(@) with x-axis . Then its ...

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  5. The condition that the line lx+my+n=0 to touch the parabola y^(2)=4ax ...

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  6. The line y =m(x+a) + a/m touch the parabola y^(2)=4a(x+a) for m

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  7. The condition that the line y=mx+c to be a tangent to the parabola y^(...

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  8. The line among the following that touches the parabola y^(2)=4ax is

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  9. The equation of the common tangent to x^(2)+y^(2)=2a^(2)"and" y^(2)=8a...

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  10. The equation of the common tangent to x^(2)+y^(2)=8 and y^(2)=16x is

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  11. The equation of the common tangent to y^(2)=8x and x^(2)+y^(2)-12x+4=0...

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  12. The sloope of the line touching both the parabolas y^(2) =4x and x^(2)...

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  13. The points of intersection of the parabolas y^(2)=5x and x^(2)=5y lie ...

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  14. The two parabolas y^(2)=4x and x^(2)=4y intersect at a point P whose...

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  15. If the common tangent of the circle x^(2)+y^(2)=c^(2) and the parabola...

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  16. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

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  17. The product of the slopes of the tangents to the parabola y^(2)=4x dra...

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  18. The slope of tangents drawn from a point (4,10) to the parabola y^(2)=...

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  19. The point of intersection of the tangents at the ends of latusrectum o...

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  20. The locus of the point of intersection of perpendicular tangents to th...

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