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Match the lengths of the focal chords dr...

Match the lengths of the focal chords drawn to `y^(2)=8x` from points having parameters
`{:("List-I", "","List-II"),((A)2,1.,8),((B) -3,2.,(25)/(2)),((C)1,2.,(289)/(8)),((D)-4,4.,(200)/(9)):}`
The correct match is

A

`{:(A,B,C,D),(4,2,3,1):}`

B

`{:(A,B,C,D),(2,4,3,1):}`

C

`{:(A,B,C,D),(2,4,1,3):}`

D

`{:(A,B,C,D),(1,2,3,4):}`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PARABOLA-EXERCISE- II
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  2. If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4...

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  3. Match the lengths of the focal chords drawn to y^(2)=8x from points ha...

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  4. If x-2y-a = 0 is a chord of y^(2) = 4ax then its length is

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  5. If (x(1),y(1)) and (x(2),y(2)) are ends of focal chord of y^(2)=4ax th...

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  6. If the tangents to y^(2)= 2x at 3 points have inclinations 30^(@), 40^...

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  7. If y(1),y(2) are the ordinates of two points P and Q on the parabola a...

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  8. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  9. The area of triangle formed by the points points and t(1),t(2) and t(3...

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  10. The area of triangle formed by tangents at the parametrie points t(1),...

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  11. If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the...

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  12. Equation of normal to y^(2) = 4x at the point whose ordinate is 4 is

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  13. The equation of normal to y^(2) = 4ax at the point of contact of a Ta...

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  14. The angle between normals to y^(2) = 24x at the points (6, 12) and (6,...

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  15. If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G a...

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  16. If t(1),t(2),t(3) are the feet of normals drawn from (x(1),y(1)) to th...

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  17. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

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  18. Number of normals drawn through the point (8, 4) to the parabola y^(2)...

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  19. Number of distinct normals that can be drawn from ((11)/(4),(1)/(4)) t...

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  20. The number of normals drawn to the parabola y^(2)=4x from the point (1...

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