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The circle x^(2)+y^(2)+2lamdax=0,lamdain...

The circle `x^(2)+y^(2)+2lamdax=0,lamdainR`, touches the parabola `y^(2)=4x` externally. Then,

A

`lamdagt0`

B

`lamdalt0`

C

`lamdagt1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

(1) The graph shows `lamdagt0`.
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CENGAGE PUBLICATION-PARABOLA-EXERCISE (SINGLE CORRECT ANSWER TYPE )
  1. A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2...

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  2. A line L passing through the focus of the parabola y^2=4(x-1) intersec...

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  3. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

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  4. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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  5. If the points A (1,3) and B (5,5) lying on a parabola are equidistant ...

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  6. The radius of the circle whose centre is (-4,0) and which cuts the par...

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  7. The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the l...

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  8. If y(1),y(2),andy(3) are the ordinates of the vertices of a triangle i...

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  9. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

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  10. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

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  11. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

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  12. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

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  13. AB is a chord of the parabola y^2 = 4ax with its vertex at A. BC is dr...

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  14. Set of value of alpha for which the point (alpha,1) lies inside the ci...

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  15. If X is the foot of the directrix on the a parabola. PP' is a double o...

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  16. A water jet from a function reaches it maximum height of 4 m at a d...

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  17. Area of the triangle formed by the vertex, focus and one end of latusr...

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  18. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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  19. Two parabola have the same focus. If their directrices are the x-axis ...

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  20. The locus of the point (sqrt(3h),sqrt(3k+2)) if it lies on the line x-...

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