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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)+8xy-3y^(2)=0`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-PAIR OF STRAIGHT LINES-CRITICAL THINKING
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  2. If one of the lines is given by kx^(2)-5xy-6y^(2)=0 si 4x+3y=0 then va...

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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. If one of the lines represented by the equation ax^2+2hxy+by^2=0 is co...

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  5. If the sum of the slopes of the lines represented by the equation x^(2...

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  6. If slope of one of the lines ax^(2)+2hxy+by^(2)=0 is 5 times the slope...

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  7. The condition that the gradient of one line is twice is gradient of an...

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  8. If the slope of one of the lines represented by the equation ax^2+2hxy...

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  9. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 b...

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  10. If m(1),m(2) are slopes of lines represented by 2x^(2)-5xy+3y^(2)=0 th...

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  11. If two lines ax^(2)+2hxy+by^(2)=0 are equally inclined with co-ordina...

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  12. Difference of slopes of the lines represented by the equation x^2(sec^...

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  13. The difference of the tangents of the angles, which the lines (tan^(...

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  14. The equation of the pair of straight lines, each of which makes an ang...

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  15. If the line given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the ...

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  16. One of the lines represented by the equation ax^(2)+bxy+cy^(2)=0 bisec...

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  17. If the equation ax^(2)+2hxy+by^(2)=0 has one line as the bisector of a...

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  18. If the lines represented by the equation 2x^2-3xy+y^2=0 make angles al...

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  19. If the lines represented by the equation ax^(2)-bxy-y^(2)=0 make angle...

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  20. If the acute angle between the lines ax^(2) + 2hxy + by^(2) = 0 is 60^...

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