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Chords of the hyperbola x^(2)-y^(2)=a^(2...

Chords of the hyperbola `x^(2)-y^(2)=a^(2)` touch the parabola `y^(2)=4ax`. The locus of their middle point is the curve …………..

A

`y^(2)(x-a)=2x^(2)`

B

`y^(2)(x-a)=x^(3)`

C

`y^(2)(x-a)=x^(4)`

D

`y^(2)(x+a)=x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
b
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BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
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  2. The locus of the points of intersectino of the tangents at the extremi...

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  3. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

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  4. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

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  5. The radius of the circle passing through the foci of the ellipse (x^(2...

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  6. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

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  7. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

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  8. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

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  9. The difference of the focal distances of any point on the hyperbola is...

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  10. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

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  11. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

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  12. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

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  13. If the centre, one of the foci and semi-major axis of an ellipse are (...

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  14. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

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  15. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

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  16. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

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  17. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

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  18. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

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  19. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

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  20. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

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  21. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

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