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Statement -1 : If a gt b gt c, then the ...

Statement -1 : If `a gt b gt c`, then the lines represented by `(a-b)x^(2)+(b-c)xy+(c-a)y^(2)=0` are real and distinct.
Statement-2 : Pair of lines represented by `ax^(2)+2hxy+by^(2)=0` are real and distinct if `h^(2) gt ab`.

A

`a(b-c)x+c(a-b)y=0 and x+y=0`

B

`a(b-c)x-c(a-b)y=0 and x-y=0`

C

`a(b-c)x+c(a-b)y=0 and x-y=0`

D

`a(b-c)x-c(a-b)y=0 and x+y=0`

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. The separate equations of the lines represented by the equation y^(2)+...

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  2. Separate equations of the two lines jointly given by ab(x^(2)-y^(2))+(...

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  3. Statement -1 : If a gt b gt c, then the lines represented by (a-b)x^(2...

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  4. The equation of the lines represented by 3x^(2)-7xy+4y^(2)=0 are

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  5. The equation of the lines represented by 3x^(2)-10xy-8y^(2)=0 are

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  6. The equation of the lines represented by 6x^(2)-5xy-6y^(2)=0 are

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  7. The equation of the lines represented by 3x^(2)-2sqrt(3)xy-3y^(2)=0 ar...

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  8. The equation of the lines represented by x^(2)+2xy-y^(2)=0 are

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  9. The equation of the lines represented by 2x^(2)+2xy-y^(2)=0 are

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  10. The equation of the lines represented by x^(2)+2(cosecalpha)xy+y^(2)=0...

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  11. The separate equation of the lines represented by the equation x^(2)+...

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  12. The equation of the whose sum of the intercepts on the axes is 7 and i...

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  13. The separate equations of the lines represented by the equation (x-2)^...

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  14. The separate equations of the lines represented by the line equation (...

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  15. The separate equations of the lines represented by the line equation 8...

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  16. The equation (x-5)^(2)+(x-5)(y-6)-2(y-6)^(2)=0 represents

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  17. The joint equation of the line 2x+y=0 and 3x-5y=0 is

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  18. The joint equation of the line x-y=0 and x+y=0 is

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  19. The joints equation of the lines 3x-2y+5=0 and 5x-3y=0 is

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  20. The joint equation of the lines 3x+2y-1=0 and x+3y-2=0 is

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