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If the line y = mx + a meets the parabola `x^(2)=4ay` in two points whose abscissa are `x_(1)` and `x_(2)` then `x_(1)+x_(2)` =0 If

A

`m= -1`

B

`m=1`

C

m=0

D

`m=-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. L (1, 3) and L^(1) = (1, -1) are the ends of latus rectum of a parabol...

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  2. The point on y^(2) = 4ax nearest to the focus has its abscissa equal t...

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

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  4. Number of points of intersectionsof circle x^(2)+y^(2)+2x=0 with y^(2)...

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  5. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

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  6. If a circle cuts a parabola in four points then the sum of ordinates o...

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  7. In the parabola y^(2) = 4x, the length of the chord passing through th...

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  8. The length of chord Intercepted by the parabola y=x^(2)+3x on the lin...

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  9. On the parabola = y^(2)=8x. If one extrimity of focal chord is ((1)/(2...

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  10. If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4...

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

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

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

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

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

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

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

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

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

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

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