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If theta is the angle between the lines ...

If `theta` is the angle between the lines represented by `ax^(2)+2hxy+by^(2)=0`, then `tantheta=`

A

`pm(sqrt(h^(2)-ab))/(a+b)`

B

`pm(sqrt(h^(2)-4ab))/(a+b)`

C

`pm(2sqrt(h^(2)-ab))/(a+b)`

D

`pm(2sqrt(h^(2)-4ab))/(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. If m1 and m2 are the slopes of the lines represented by ax^(2)+2hxy+by...

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  2. If m1 and m2 are the slopes of the lines represented by ax^(2)+2hxy+by...

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  3. If theta is the angle between the lines represented by ax^(2)+2hxy+by^...

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  4. The lines represents by ax^2+2hxy+by^2=0 are perpendicular to each oth...

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  5. The product of perpendiculars let fall from the point (x(1),y(1)) upon...

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  6. If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel straight lines, ...

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  7. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

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  8. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

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  9. Lines represented by 4x^(2)+4xy+y^(2)=0 are

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  10. Lines represented by x^(2)-y^(2)=0 are

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  11. Lines represented by x^(2)+7xy+2y^(2)=0 are

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  12. Lines represented by x^(2)+2xy-y^(2)=0 are

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  13. If the lines represented by ax^(2)+4xy+4y^(2)=0 are real distinct, the...

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  14. if lines represented by equation px^(2)-qy^(2)=0 are distinct, then

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  15. Lines represented by px^(2)-qy^(2)=0 are real and coincident, if

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  16. Lines represented by px^(2)-qy^(2)=0 are imaginary, if

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  17. Which of the following equation does not represent a pair of li...

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  18. If l, m, n are in AP, then the line lx+my+n=0 will always pass through...

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  19. The separate equations of the lines represented by the equation x^(2)-...

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  20. The separate equations of the lines represented by the equation 3x^(2)...

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