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If l and m are variable real number such...

If l and m are variable real number such that `5l^(2)+6m^(2)-4lm+3l=0`, then the variable line lx+my=1 always touches a fixed parabola, whose axes is parallel to the x-axis.
The directrix of the parabola is

A

6x + 7 = 0

B

4x + 11 = 0

C

3x + 11 = 0

D

none of these

Text Solution

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The correct Answer is:
C
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