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let P be the point (1, 0) and Q be a poi...

let `P` be the point `(1, 0)` and `Q` be a point on the locus `y^2= 8x`. The locus of the midpoint of `PQ` is

A

`y^(2)-4x+2=0`

B

`y^(3)+4x+2=0`

C

`x^(2)+4x+2=0`

D

`x^(2)-4y+2=0`

Text Solution

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The correct Answer is:
A
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MOTION-PARABOLA-EXERCISE - I
  1. The point of intersection of the curve whose parametrix equations are ...

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

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  3. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

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  4. Let N be the foot of perpendicular to the x-axis from point P on the p...

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  5. The locus of the midpoint of the segment joining the focus to a moving...

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  6. If (t^2, 2t) is one end ofa focal chord of the parabola, y^2=4x then ...

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  7. Find the locus of the point of intersection of the perpendicular ta...

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

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

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

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

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

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

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

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

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

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

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

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

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