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If (t^2, 2t) is one end ofa focal chord...

If `(t^2, 2t)` is one end ofa focal chord of the parabola, `y^2=4x` then the length of the focal chord will be:

A

`(t+1/2)^(2)`

B

`(t+1/t)sqrt((t^(2)+1/(t^(2))))`

C

`(t-1/t)sqrt((t^(2)+1/(t^(2))))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
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MOTION-PARABOLA-EXERCISE - I
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  4. Find the locus of the point of intersection of the perpendicular ta...

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  5. Find the common tangent of x^(2) + y^(2) = 2a^(2) and y^(2) = 8ax.

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  6. The tangents to the parabola x = y^2 + c from origin are perpendicular...

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  7. T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respect...

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  8. P Q is a normal chord of the parabola y^2=4a x at P ,A being the verte...

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  9. The normal at the point (bt1^2, 2bt1) on the parabola y^2 = 4bx meets ...

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  10. Locus of the intersection of the tangents at the ends of the normal ch...

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  11. If the normal chhord of the parabola y^(2)=4x makes an angle 45^(@) wi...

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  12. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

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  13. Tangents are drawn from the points on the line x-y+3=0 parabola y^2=8x...

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  14. The line 4x-7y + 10 = 0 intersects the parabola, y^2 = 4x at the point...

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  15. From the point (4, 6) a pair of tangent lines are drawn to the parabol...

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  16. PSQ is a focal chord of the parabola y^2=8xdotIf\ S P=6, then write SQ...

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  17. The equation of the circle drawn with the focus of the parabola (x – 1...

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  18. The slope of the focal chords of the parabola y^(2) = 16x which are ta...

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  19. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  20. AB, AC are tangents to a parabola y^2=4ax; p1, p2, p3 are the lengths...

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