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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

2

B

3

C

4

D

5

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The correct Answer is:
B
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ARIHANT MATHS-PARABOLA-Exercise (Passage Based Questions)
  1. Let C be the locus of the circumcentre of a variable traingle having s...

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  2. The locus of the circumcenter of a variable triangle having sides the ...

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  3. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

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  4. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

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  5. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

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  6. If l and m are variable real number such that 5l^(2)+6m^(2)-4lm+3l=0, ...

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  7. IF l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

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  8. IF l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

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  9. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

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  10. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

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  11. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

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  12. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

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  13. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

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  14. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

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  15. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

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  16. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

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  17. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

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  18. y=3x is tangent to the parabola 2y=ax^2+b. The minimum value of a+b i...

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  19. y=3x is tangent to the parabola 2y=ax^2+ab. If (2,6) is the point of...

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  20. y=3x is tangent to the parabola 2y=ax^2+ab. If b=18,then the point o...

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