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y=x+2 is any tangent to the parabola y^2...

`y=x+2` is any tangent to the parabola `y^2=8xdot` The point `P` on this tangent is such that the other tangent from it which is perpendicular to it is `(2,4)` (b) `(-2,0)` `(-1,1)` (d) `(2,0)`

A

`(2, 4)`

B

`(-2,0)`

C

`(-1,1)`

D

`(2,0) `

Text Solution

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The correct Answer is:
B
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
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  2. The portion of a tangent to a parabola cut off between the directrix a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If the tangent at the point P (2,4) to the parabola y^2 = 8x meets the...

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  17. The locus of the point of intersection of tangents to the parabola y^2...

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

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  19. Ordinates of three points A,B,C on the parabola y^2 = 4ax are in G.P. ...

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  20. If the tangents at P and Q on a parabola meet in T, then SP, ST and SQ...

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