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If the line 2x - 3y = k touches the para...

If the line 2x - 3y = k touches the parabola `y^(2) = 6 x `, then the value of k is
(i) `(27)/(4)`
(ii) `-(27)/(4)`
(iii) `-27`
(iv) 27

A

`(27)/(4)`

B

`(27)/(4)`

C

`-27`

D

27

Text Solution

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The correct Answer is:
B
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ICSE-CONIC SECTIONS -Multiple Choice Questions
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  11. The vertex of the parabola y^(2) + 8x - 2y + 17 = 0 is (i) (1,-2) (...

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  12. The length of latus - rectum of the parabola x^(2) - 4x + 8y + 12 = 0...

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  13. The equation of the parabola with focus (0,0) and directrix x + y - ...

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  14. The focus of the parabola y^(2) - x - 2y + 2 = 0 is (i) ((5)/( 4), ...

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  15. The equation of the directrix of the parabola x^(2) - 4x - 8y + 12 = ...

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  16. The equation x = t^(2) + 1 and y = 2t + 1, where t is any real number,...

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  17. If the latus rectum of an ellipse is equal to half of minor axis, t...

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  18. If the eccentricity of and ellipse is (5)/(8) and the distance betw...

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  20. The equation of ellipse whose vertices are (pm 5, 0) and foci are (...

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  21. The length of latus rectum of the ellipse 3x^(2) + y^(2) = 12 is (i)...

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