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

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

A

they 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 of these

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The correct Answer is:
C
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The angle between the tangents drawn from the origin to the paraboala ...

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  2. Angle between tangents drawn from the point (1, 4) to the parabola y^2...

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

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  4. Any tangent to a parabola y^2 = 4ax and perpendicular to it from the f...

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

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  6. Consider a circle with its centre lying on the focus of the parabola, ...

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  7. The equation to the line touching both the parabolas y^2 = 4x and x^2 ...

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  8. If y=2x+3 is a tangent to the parabola y^2=24 x , then is distance fro...

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  9. TP, TQ are tangents to a parabola y^2 = 4ax, p1, p2, p3 are the length...

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  10. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  11. Two parabolas y^2 = 4a(x-lamda) and x^2 = 4a(y -mu) always touch each ...

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  12. If the circle x^2 + y^2 +2lamdax=0,lamdain R touches the parabola y^2 ...

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  13. The equation of the common tangent to the curve y^(2) = 8x " and " xy ...

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  14. The equation to the common tangent to the parabolas y^2= 2x and x^2 = ...

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  15. Equations of the common tangents of the circles x^2+ y^2 = 2a^2 and th...

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  16. The common tangent(s) of y=x^2 and y=-x^2 + 4x – 4 is (are) :

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  17. If the line y=x sqrt3 - 3 cuts the parabola y^2 = x+2 at Pand Q and if...

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  18. The ratio of area of triangle inscribed in a parabola to the area of t...

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  19. If perpendiculars be drawn from any two fixed points on the axis of a ...

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  20. A tangent and a normal are drawn at the point P (16,16) of the parabol...

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