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If the point P(4, -2) is the one end of ...

If the point P(4, -2) is the one end of the focal chord PQ of the parabola `y^(2)=x,` then the slope of the tangent at Q, is

A

`-1/4`

B

`1/4`

C

4

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The angle between tangents to the parabola y^2 = 4ax at the point wher...

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  2. If P(at1^2,2at1)and Q(at2^2,2at2) are two variablé points on the curv...

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  3. If the point P(4, -2) is the one end of the focal chord PQ of the para...

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  4. If (2,-8) is at an end of a focal chord of the parabola y^2 = 32x, the...

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  5. The angle between the tangents drawn from the origin to the paraboala ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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