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Find the value of k if the line 2y=5x+k ...

Find the value of k if the line 2y=5x+k is a tangent to the parabola `y^(2)=6x`

A

`2//3`

B

`4//5`

C

`3//5`

D

`6//5`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The equation of the tangent to the parabola y^(2)=16x and perpendicul...

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

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

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

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

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  6. The line y=2x+k is a normal to the parabola y^(2)=4x then k=

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  7. The line y=xsqrt(2)+lambda is a normal to the parabola y^(2)=4x then l...

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  8. Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length o...

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  9. The point of contact of 2x-y+2 =0 to the parabola y^(2)=4ax is

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  10. The point of contact of x-2y+4a=0 to the parabola y^(2)=4ax is

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  11. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

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  12. The point on the curve y^(2)=x the tangent at which makes an angle of ...

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

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  14. The condition that the line lx+my+n=0 to touch the parabola y^(2)=4ax ...

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  15. The line y =m(x+a) + a/m touch the parabola y^(2)=4a(x+a) for m

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  16. The condition that the line y=mx+c to be a tangent to the parabola y^(...

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  17. The line among the following that touches the parabola y^(2)=4ax is

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  18. The equation of the common tangent to x^(2)+y^(2)=2a^(2)"and" y^(2)=8a...

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  19. The equation of the common tangent to x^(2)+y^(2)=8 and y^(2)=16x is

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  20. The equation of the common tangent to y^(2)=8x and x^(2)+y^(2)-12x+4=0...

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