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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) 9 (b) 3 (c) 7 (d) 6

A

3

B

6

C

7

D

9

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The correct Answer is:
B
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ARIHANT MATHS ENGLISH-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 in...

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  9. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

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

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  11. If the normals to the parabola y^2=4a x at P meets the curve again at ...

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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. about to only mathematics

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  14. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

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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 of y^2=4x are the normals to x^2=4b y , 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 form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

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  20. An equilateral triangle SAB is inscribed in the parabola y^(2)=4ax hav...

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