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If the lines represented by ax^(2)-bxy-y...

If the lines represented by `ax^(2)-bxy-y^(2)=0` makes angle `alpha and beta` with X-axis, then `tan(alpha+beta)=`

A

`(-a)/(1+b)`

B

`(a)/(1+b)`

C

`(-b)/(1+a)`

D

`(b)/(1+a)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
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  2. If the lines represented by 6x^(2)+41xy-7y^(2)=0 makes angle alpha and...

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  3. If the lines represented by ax^(2)-bxy-y^(2)=0 makes angle alpha and b...

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  4. If the lines represented by x^(2)-4xy+y^(2)=0 makes angle alpha and be...

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  5. If the sum of the square of slopes of the lines represented by kx^(2)-...

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  6. If the slope of one of the lines given by kx^(2)+(3k+1)xy+3y^(2)=0 is ...

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  7. If the slope of one of the lines given by ax^(2)+2hxy+by^(2)=0 is k ti...

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  8. If the sum of the slopes of the lines given by 2x^(2)+kxy-3y^(2)=0 is ...

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  9. If sum of the slopes of the lines represented by x^(2)+kxy-3y^(2)=0 is...

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  10. If the sum of the slopes given by ax^(2)+8xy+5y^(2)=0 is twice their p...

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  11. if X^2/a+y^2/b+(2xy)/h=0 represent pair of straight lies and slope one...

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  12. If the slopes of the line given by 6x^(2)+2hxy+y^(2)=0 are in the rati...

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  13. If the slopes of one of the line given by ax^(2)+2hxy+by^(2)=0 is thre...

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  14. If the slopes of one of the line given by 3x^(2)+4xy+ky^(2)=0 is three...

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  15. If the ratio of gradients of the line given by ax^(2)+2hxy+by^(2)=0 i...

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  16. If the slope of one of the line given by ax^(2)+2hxy+by^(2)=0 is four ...

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  17. If the slope of one of the lines given by 4x^(2)+kxy+y^(2)=0 is four t...

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  18. If the sum of slopes of the lines given by 3x^(2)+kxy-9y^(2)=0 is 5 ti...

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  19. The difference of the slopes of the lines given by 3x^(2)-4xy+y^(2)=0 ...

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  20. The slopes of the lines given by 12x^(2)+bxy-y^(2)=0 differ by 6, Then...

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