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If x=m x+c touches the parabola y^2=4a(x...

If `x=m x+c` touches the parabola `y^2=4a(x+a),` then `c=a/m` (b) `c=a m+a/m` `c=a+a/m` (d) none of these

A

`c=(1)/(m)`

B

`c=am+(a)/(m)`

C

`c=a+(a)/(m)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
(2) The equation of tangent to the given parabola having slope m is
`y=m(x+a)+(a)/(m)`
`ory=mx+am+(a)/(m)`
Comparing (1) with y=mx+c, we have
`c=am+(a)/(m)`
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CENGAGE-PARABOLA-Exercise (Single)
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  10. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

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  11. The tangent to y^(2)=ax make angles theta(1)andtheta(2) with the x-axi...

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  12. A tangent is drawn to the parabola y^2=4a x at the point P whose absci...

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  13. The straight lines joining any point P on the parabola y^2=4a x to the...

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  14. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

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  15. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...

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  16. If the locus of the middle of point of contact of tangent drawn to the...

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  17. If the bisector of angle A P B , where P Aa n dP B are the tangents to...

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  18. From a point A(t) on the parabola y^(2)=4ax, a focal chord and a tange...

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  20. The angle between tangents to the parabola y^2=4ax at the points where...

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