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Two straight lines are perpendicular to each other. One of them touches the parabola `y^2=4a(x+a)` and the other touches `y^2=4b(x+b)` . Their point of intersection lies on the line. `x-a+b=0` (b) `x+a-b=0` `x+a+b=0` (d) `x-a-b=0`

A

` x- a+b=0 `

B

`x+a-b=0`

C

`x+a+b=0`

D

`x-a-b=0`

Text Solution

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The correct Answer is:
C
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The straight line x + y = a touches the parabola y=x-x^2 If a =

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  2. The line y = mx + 1 is a tangent to the parabola y^2 = 4x

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  3. Two straight lines are perpendicular to each other. One of them touche...

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  4. Let P be the point (1,0) and Q a point on the locus y^2 = 8x. The locu...

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  5. If a tangent to the parabola y^2 = ax makes an angle 45^@ with x-axis,...

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  6. The point on the curve y^2 = x, the tangent at which makes an angle 45...

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  7. The portion of a tangent to a parabola cut off between the directrix a...

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  8. y=x+2 is any tangent to the parabola y^2=8xdot The point P on this tan...

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  9. If y = mx +c touches the parabola y^2 = 4a(x+ a), then

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  10. The focal chord of y^2 = 16x is tangent to (x-6)^2 + y^2 = 2, then the...

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  11. The locus of point from which the two tangents drawn to a parabola be ...

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  12. If the chord of contact of tangents from a point P to the parabola y^...

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  13. Tangents are drawn from the point P to the parabola y^2=8x such that ...

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  14. Two tangents are drawn from the point (-2, – 1) to the parabola y^2 =...

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  15. If y+3= m1 (x+2) and y+3= m2 (x+2) are two tangents to the parabola y...

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  16. The equations of common tangent to the parabola y^2 = 4ax and x^2 = 4b...

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  17. If the line x+y=1 touches the parabola y^2 - y+x=0, then the co-ordina...

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  18. The point of intersection of the tangents at the ends of the latus re...

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  19. The equation of tangents to the parabola y^2 = 4ax at the ends of latu...

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  20. Two tangents of the parabola y^2 = 8x, meet the tangent at its vertex ...

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