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Let there be two parabolas with the same...

Let there be two parabolas with the same axis, focus of each being exterior to the other and the latus rectam being 4a and 4b. The locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis is a:

A

straight line if a = b

B

parabola if `aneb`

C

parabola `AA` all a, b

D

none of these

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The correct Answer is:
A, B
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FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - II)
  1. A quadrilateral is inscribed in a parabola . Then,

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  2. The set of points on the axis of the parabola 2((x-1)^(2)+(y-1)^(2))=(...

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  3. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

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  4. The coordinates of an end-point of the rectum of the parabola (y-1)^(2...

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  5. A circle touches the parabola y^(2)=2x" at "P(1/2,1) and cuts the para...

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  6. The equation of a tangent to the parabola y^(2)=8x which makes an angl...

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  7. The normal y=mx-2am-am^(3) to the parabola y^(2)=4ax subtends a right ...

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  8. If two distinct chords of a parabola y^(2)=4ax, passing through (a, 2a...

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  9. The curves x^(2)+y^(2)+6x-24y+72=0andx^(2)-y^(2)+6x+16y-46=0 intersect...

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  10. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

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  11. A circle of radius r, rne0 touches the parabola y^(2)+12x=0 at the ver...

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  12. Slope of tangent to x^(2)=4y from (-1, -1) can be

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  13. IF P1P2 and Q1Q2 two focal chords of a parabola y^2=4ax at right ang...

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  14. Let there be two parabolas with the same axis, focus of each being ext...

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  15. The equations of the common tangents to the parabola y = x^2 and y=-...

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  16. Let y^(2)=4ax be a parabola and x^(2)-y^(2)=a^(2) be a hyperbola. Then...

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

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  18. The line x+ y +2=0 is a tangent to a parabola at point A, intersect t...

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  19. A tangent is drawn at any point (l, m), l, mne0 on the parabola y^(2)=...

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  20. The set of real value of 'a' for which at least one tangent to the par...

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