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If `(x_(1), y_(1))` and `(x_(2), y_(2))` are the end points of a focal chord of the parabola `y^(2) = 5x`, then `4x_(1)x_(2) + y_(1)y_(2) =`

A

25

B

5

C

0

D

`5/4`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The number of tangents to y^(2)=6x through (-1,-1) is

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  2. If the ends of a focal chord of the parabola y^(2)=4ax are (x(1),y(1))...

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  3. If (x(1), y(1)) and (x(2), y(2)) are the end points of a focal chord o...

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  4. The point of intersection of the tangents at t(1) and t(2) to the para...

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  5. The slope of a chord of the parabola y^(2)=4ax which is normal at one ...

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  6. On the parabola y^(2)=8x if one extremity of a focal chord is (1//2,-2...

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  7. A focal chord of the parabola y^(2)=4ax meets it at P and Q . If S is...

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  8. The latusrectum of a parabola whose focal chord is PSQ such that SP =3...

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  9. The circle described on any focal chord of a parabola as diameter touc...

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  10. The circle on a focal radius as diameter of a parabola y^(2)=4ax touch...

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  11. A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diam...

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  12. The slopes of the focal chords of the parabola y^(2)=32 x which are ta...

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  13. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

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  14. If a chord of the parabola y^(2)=4x passes through its focus and makes...

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  15. The length of the chord of the parabola x^(2)=4ay passing through the ...

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  16. In the parabola y^(2)= 4ax the length of the chord passing through th...

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  17. The length of chord intercepted by the parabola y=x^(2)+3x on the line...

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  18. If the line y = mx + a meets the parabola x^(2)=4ay in two points whos...

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  19. Prove that the portion or the tangent intercepted,between the point of...

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  20. The subnormal of the parabola y^(2)=4ax is equal to

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