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If the equation a x^2-6x y+y^2=0 repres...

If the equation `a x^2-6x y+y^2=0` represents a pair of lines whose slopes are `m` and `m^2,` then the value(s) of `a` is/are

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The image of the pair of lines represented by a x^2+2h x y+b y^2=0 by ...

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  2. The combined equation of the lines l1a n dl2 is 2x^2+6x y+y^2=0 and ...

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  3. If the equation a x^2-6x y+y^2=0 represents a pair of lines whose slo...

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  4. The equation of a line which is parallel to the line common to the pai...

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  5. If the sum of the slopes of the lines given by x^2-2c x y-7y^2=0 is fo...

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  6. Area of the triangle formed by the line x+y=3 and angle bisectors o...

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  7. The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a)a pair of strai...

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  8. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

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  9. 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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  10. The condition that one of the straight lines given by the equation a x...

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  11. If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated ...

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  12. A point moves so that the distance between the foot of perpendiculars ...

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  13. The angle between the pair of lines whose equation is 4x^2+10 x y+m ...

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  14. Find the point of intersection of the pair of straight lines represent...

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  15. Find the angle between the lines represented by x^2+2x ysectheta+y^2=0...

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  16. If the pair of lines sqrt(3)x^2-4x y+sqrt(3)y^2=0 is rotated about the...

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  17. If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distin...

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  18. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

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  19. If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle...

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  20. Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 respresents a pai...

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