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If the slope of one of the lines given b...

If the slope of one of the lines given by `ax^(2)+2hxy+by^(2)=0` is k times the slope of other, then

A

`kh^(2)=4ab(1+k)^(2)`

B

`kh^(2)=2ab(1+k)^(2)`

C

`4xh^(2)=ab(1+k)^(2)`

D

`2kh^(2)=ab(1+k)^(2)`

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If slopes of lines represented by kx^(2)+5xy+y^(2)=0 differ by 1, then...

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

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  19. If the slope of one of the lines given by kx^(2)+4xy-y^(2)=0 exceeds t...

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  20. If two lines represented by x^2(tan^2theta+cos^2theta)-2xytantheta+y^2...

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