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If the parabolas y^2=4a x and y^2=4c(x-b...

If the parabolas `y^2=4a x` and `y^2=4c(x-b)` have a common normal other than the x-axis `(a , b , c` being distinct positive real numbers), then prove that `b/(a-c)> 2.`

A

`1`

B

`2`

C

`3`

D

`4`

Text Solution

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The correct Answer is:
B, C, D
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VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
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  2. Let A and B be two points on y^(2)=4ax such that normals to the curve ...

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  3. If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...

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  4. If (-2a,a+1) lies in the interior (smaller region) bounded by the circ...

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  5. Prove that the locus of the point of intersection of the normals at th...

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  6. The angle of intersection between the curves y^2=4x" and "x^2=32y at p...

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  7. The algebraic sum of the ordinates of the feet of 3 normals drawn to t...

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  8. about to only mathematics

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  9. From the point P(-1,2) tangents are drawn to the parabola y^2=4x. Find...

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  10. From the focus of the parabola y^2=2px as centre, a circle is drawn so...

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  11. The maximum number of common chords of a parabola and a circle can be

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

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  13. If length of focal chord P Q is l , and p is the perpendicular distanc...

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  14. The length of the chord of the parabola y^2=x which is bisected at the...

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  15. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

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  16. The mid-point of the chord intercepted on the line 4x-3y+4=0 by the pa...

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  17. The polar of a point with respect to y^2=4x touches x^2=4y. If the loc...

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  18. Let A and B be two points on y^(2)=4ax such that normals to the curve ...

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  19. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

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  20. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

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