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If parabolas y^2=lambdax and 25[(x-3)^2+...

If parabolas `y^2=lambdax` and `25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2` are equal, then the value of `lambda` is

A

3

B

6

C

7

D

9

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. A common tangent is drawn to the circle x^2+y^2=a^2 and the parabola y...

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  2. The equation of the parabola whose vertex and focus lie on the axis of...

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  3. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

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  4. ABCD and EFGC are squares and the curve y=ksqrtx passes through the or...

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  5. Find dy/dx if y^2 = x

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  6. The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=...

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

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  8. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of int...

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  9. Evaluate int 18x^2 dx.

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  10. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

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  11. Evaluate int 22x^2 dx.

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  12. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

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  13. Evaluate int 23x^2 dx.

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  14. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  15. From a point (sintheta,costheta), if three normals can be drawn to the...

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  16. If two different tangents to y^2=4x are the normals to x^2=4 by, then

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  17. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  18. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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  19. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

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  20. Find the length of the side of an equilateral traingle inscribed in th...

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