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The ratio in which the line segment join...

The ratio in which the line segment joining the points (4,-6) and (3,1) is divided by the parabola `y^(2)=4x` is

A

`(-20+-sqrt(155))/(11):1`

B

`(-2+-2sqrt(155))/(11):1`

C

`-20+-2sqrt(155):11`

D

`-20+-sqrt(155):11`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. If 2x+y+a=0 is a focal chord of the parabola y^(2)+8x=0 then a =

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  2. PQ is a double ordinate of the parabola y^(2)+4x . The locus of its po...

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  3. The ratio in which the line segment joining the points (4,-6) and (3,1...

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  4. The number of point of intersection of the circle x^(2)+y^(2)=2ax with...

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  5. If a ne0 and the line 2bx+3cy+4d =0 passes through the points of inter...

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  6. Which of the following equations represents a parabola

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  7. The equation of the tangent to the parabola y^(2)=12x at (3,-6) is

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  8. The equation of the tangent to the parabola x^(2)=4y at (-2,1) is

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  9. The equation of the tangent to the parabola y^(2)=4x at the end of the...

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  10. The equation of the tangent to the parabola y^(2)=8x inclined at 30^(@...

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  11. The equation to the normal to the parabola y^(2)=4x at (1,2) is

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  12. The equation of the normal to the curve x^(2)=4y at (1,2) is

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  13. The line x+y= 6 is a normal to the parabola y^(2)=8x at the point

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  14. The equation of the normal at the end of latusrectum in the fourth qua...

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  15. The equation of the tangent to the parabola y^(2)=8x and which is para...

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  16. The equation of the tangent to the parabola y^(2)=16x and perpendicul...

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  17. If the line x+y+2 =0 touches the parabola y^(2)=kx then k=

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  18. Find the value of k if the line 2y=5x+k is a tangent to the parabola y...

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  19. If x+y+k=0 is a tangent to the parabola x^(2)=4y then k=

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  20. The straight line x+y touches the parabola y=x-x^(2) then k =

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