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The two parabolas y^(2)=4x and x^(2)=4y...

The two parabolas `y^(2)=4x ` and `x^(2)=4y ` intersect at a point P whose abscissae is not zero such that

A

they both touch each other at P

B

they cut at right angles at P

C

the tangents to each curve at P make complementary angles with the x-axis

D

none

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The sloope of the line touching both the parabolas y^(2) =4x and x^(2)...

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

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

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

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

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

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

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

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

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  10. If two tangents drawn from a point P to the parabola y^(2)=4x are at r...

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  11. The tangents at the ends of a focal chord of a parabola y^(2)=4ax int...

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  12. The locus of the point of intersectio of the perpendicular tangents to...

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  13. The locus of the point of intersection of two tangents to the parabola...

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  14. The locus of the point of intersection of two tangents to the parabola...

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  15. The locus of the point of intersection of two tangents to the parabola...

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  16. The locus of the point of intersection of two tangents to the parabola...

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  17. The locus of the point of intersection of two tangents to the parabola...

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  18. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  19. Two straight lines are perpendicular to each other. One of them touche...

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  20. The locus of the point of intersection of tangents to the parabola y^(...

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