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If the pair of lines 3x^(2)-5xy+ky^(2)=0...

If the pair of lines `3x^(2)-5xy+ky^(2)=0 and 6x^(2)-xy-5y^(2)=0` have one line in common, then k=

A

`2, (25)/(4)`

B

`-2, (25)/(4)`

C

`2, (-25)/(4)`

D

`-2, -(25)/(4)`

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 the pair of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have ex...

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  2. If the pair of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have ex...

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  3. If the pair of lines 3x^(2)-5xy+ky^(2)=0 and 6x^(2)-xy-5y^(2)=0 have o...

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  4. If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exact...

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  5. The angle between the lines xy=0 is

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  6. Find the angle between the lines represented by 3x^2 + 4xy-3y^2 = 0

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

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  8. The acute angle theta between the lines represented by 3x^(2)-4sqrt(3)...

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  9. The acute angle theta between the lines represented by 2x^(2)+7xy+3y^(...

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  10. Find the measure of the acute angle between the lines represented by (...

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  11. The acute angle theta between the lines given by 3y^(2)=x(7y-2x) is

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

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

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

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

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

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

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

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

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

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