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The acute angle theta between the lines ...

The acute angle `theta` between the lines represented by `2x^(2)-6xy+y^(2)=0` is

A

`tan^(-1)((sqrt(7))/(2))`

B

`tan^(-1)((2sqrt(7))/(3))`

C

`tan^(-1)((3sqrt(7))/(2))`

D

`tan^(-1)((2sqrt(7))/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. The acute angle theta between the lines given by 3y^(2)=x(7y-2x) is

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  2. The acute angle theta between the lines represented by 3x^(2)+2xy-y^(2...

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  3. The acute angle theta between the lines represented by 2x^(2)-6xy+y^(2...

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  4. The acute angle theta between the lines represented by 4x^(2)+5xy+y^(2...

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  5. The angle between the lines ay^2-(1+lambda^2))xy-ax^2=0 is same as th...

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  6. The acute angle between the lines given by (sin^(2)theta-1)x^(2)-(cos^...

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  7. The acute angle between the lines given by x^(2)+2(cosectheta)xy+y^(2)...

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  8. The acute angle between the lines given by x^(2)+2(cottheta)xy+y^(2)=0...

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  9. The angle between the pair of lines represented by (sin^(2)alpha)(x^(2...

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  10. If the angle theta is acute, then the angle between the pair of lines ...

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  11. If the angle between the lines given by (tan^(2)A)x^(2)-kxy-y^(2)=0 is...

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  12. If theta is the acute angle between the lines represented by kx^(2)-4x...

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  13. If the angle between the lines given by 6x^(2)+xy+ky^(2)=0 is 45^(@), ...

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  14. If the angle between the lines given by x^(2)-2kxy+y^(2)=0 is 60^(@), ...

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  15. If theta1 and theta2 are the acute angle between the lines given by 3x...

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  16. If the angle between the lines given by ax^(2)+2hxy+by^(2)=0 is equal ...

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  17. If the acute angle between the lines ax^(2)+2hxy+by^(2)=0 is congruent...

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  18. If x^2+2h x y+y^2=0 represents the equation of the straight lines thro...

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  19. The joint equation of pair of lines passing through the origin and mak...

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  20. The equation of the pair of straight lines, each of which makes an ang...

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