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If the pairs of lines x^2+2x y+a y^2=0 a...

If the pairs of lines `x^2+2x y+a y^2=0` and `a x^2+2x y+y^2=0` have exactly one line in common, then the joint equation of the other two lines is given by `3x^2+8x y-3y^2=0` `3x^2+10 x y+3y^2=0` `y^2+2x y-3x^2=0` `x^2+2x y-3y^2=0`

A

`3x^(2)+10xy+3y^(2)=0`

B

`3x^(2)-10xy+3y^(2)=0`

C

`3x^(2)+10xy-3y^(2)=0`

D

`3x^(2)-10xy-3y^(2)=0`

Text Solution

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The correct Answer is:
A
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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 3x^(2)-5xy+ky^(2)=0 and 6x^(2)-xy-5y^(2)=0 have o...

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  3. 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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  4. The angle between the lines xy=0 is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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