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IF P1P2 and Q1Q2 two focal chords of a...

IF `P_1P_2` and `Q_1Q_2` two focal chords of a parabola `y^2=4ax` at right angles, then

A

area of the quadrilateral `P_(1)Q_(1)P_(2)Q_(2)` is minimum when the chords are inclined at an angle `pi/4` to the axis of the parabola

B

minimum area is twice the area of the square on the latus rectum of the parabola

C

minimum area of `P_(1)Q_(1)P_(2)Q_(2)` cannot be found

D

minimum area is thrice the area of the square on the latus rectum of the parabola

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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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