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`theta` is acute angle between the lines `x^(2)-xy-6y^(2)=0`, then `(2costheta+3sintheta)/(4sintheta+5costheta)` is

A

1

B

`-1/9`

C

`5/9`

D

`1/9`

Text Solution

Verified by Experts

The correct Answer is:
C
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FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY -EXERCISE - 6.5
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  5. The equation of the line with slope 2 and the length of the perpendicu...

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  6. A line perpendicular to the line 5x-y=0 forms a triangle with the coor...

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  7. Equation of the straight line perpendicular to the line x-y+5=0, throu...

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  8. If the equation of the base opposite to the vertex (2,3) of a equilate...

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  9. The line (p+2q)x+(p-3q)y=p-q for different values of p and q passes th...

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  10. The point on the line 2x-3y=5 is equidistance from (1,2) and (3,4) is

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  11. The image of the point (2,3) in the line y = -x is

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  12. The length of bot from the origin to the line x/3-y/4=1 is

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  13. The y-intercept of the straight line passing through (1,3) and perpend...

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  14. If the two straight lines x+(2k-7)y+3=0 " and " 3kx+9y-5=0 are perpend...

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  15. If a vertex of a square is at the origin and its one side lies along t...

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  16. If the lines represented by the equation 6x^(2)+41xy-7y^(2)=0 make ang...

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  17. The area of the triangle formed by the lines x^(2)-4y^(2)=0 " and " x=...

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  18. If one of the line given by 6x^(2)-xy+4cy^(2)=0 is 3x+4y=0, then c equ...

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  19. theta is acute angle between the lines x^(2)-xy-6y^(2)=0, then (2costh...

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  20. The equation of one of the line represented by the equation x^(2)+2xyc...

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