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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=2

D

m=`-1//2`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. In the parabola y^(2)= 4ax the length of the chord passing through th...

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

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

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

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  6. If a normal chord of a puint on the parabola y^(2) = 4ax, subtends a r...

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  7. If the chord y = mx +c subtends a right angle at the vertex of the par...

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  8. If P is a point on the parabola y^(2)=8x and A is the point (1,0) then...

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  9. The locus of the point of intersection of two tangents to the parabola...

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  10. The tangents at the points (at(1)^(2),2at(1)) , (at(2)^(2),2at(2)) on ...

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  11. The tangent to y^(2)=ax makes an angle 45^(@) with x-axis . Then its ...

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  12. The tangents at the points (at(1)^(2),2at(1)) , (at(2)^(2),2at(2)) on ...

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  13. If P (at(1)^(2),2at(1)) and Q (at(2)^(2),2at(2)) are two variable poin...

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  14. The length of the chord of contact of tangents drawn from (x(1),y(1)) ...

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  15. The area of the triangle formed by the tangents and chord of contact f...

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  16. If y(1),y(2) and y(3) are the ordinates of the vertices of a triangle ...

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  17. The area of the triangle inscribed in the parabola y^(2)=4x the ordina...

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  18. The tangents to the parabola y^(2)=4ax at P(t(1)) and Q (t(2)) inters...

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  19. The orthocentre of the triangle formed by three tangents to the parabo...

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  20. Prove that the orthocentre of the triangle formed by any three tangent...

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