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If pairs of opposite sides of a quadrila...

If pairs of opposite sides of a quadrilateral are `x^(2)-7x+6=0` and `y^(2)-14y+40=0` then equations of its diagonals are

A

`36x^(2)-25y^(2)-252x-350y+784=0`

B

`36x^(2)+25y^(2)-252x-350y-784=0`

C

`36x^(2)-25y^(2)-252x+350y-784=0`

D

`36x^(2)-25y^(2)+252x+350y-784=0`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. The orthocentre of the triangle formed by the lines xy=0 and x+y=1 is

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  2. The diagonal of the rectangle formed by the lines x^2-7x +6= 0 and y^2...

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  3. If pairs of opposite sides of a quadrilateral are x^(2)-7x+6=0 and y^(...

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  4. If the lines represented by 2x^2-5xy+2y^2=0 be the sides of a parallel...

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  5. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  6. The angle between the pair of lines xy-6x+5y-30=0

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  7. The angle between the pair of lines 3(x-4)^(2)+4sqrt(3)(x-4)(y+2)-2(y+...

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  8. The angle between the pair of lines (x-3)^(2)+(x-3)(y-4)-2(y-4)^(2)=0 ...

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  9. The acute angle between the line represented by 9x^(2)-6xy+y^(2)+18x-6...

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  10. The acute angle between the line represented by 2x^(2)+xy-y^(2)+x+4y-3...

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  11. The acute angle between the line represented by 2x^(2)-xy-3y^(2)-6x+19...

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  12. The acute angle between the line represented by x^(2)-6xy+5y^(2)+10x-4...

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  13. The angle between the pair of lines 2x^(2)+5xy+2y^(2)-3x-3y+1=0 is

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  14. The angle between the pair of lines 2x^(2)+4xy-2y^(2)+4x+8y+1=0 is

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  15. The equation x^(2)-3xy+lambday^(2)+3x-5y+2=0, lambdainR, represents a ...

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  16. The acute angle between the line represented by 9x^(2)-6xy+y^(2)+18x-6...

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  17. The acute angle between the line represented by x^(2)-6xy+5y^(2)+10x-4...

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  18. The point of intersection of the lines represented by 2x^(2)-xy-3y^(2)...

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  19. The point of intersection of the lines represented by 2x^(2)+xy-y^(2)+...

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  20. The point of intersection of the lines given by 6x^(2)+xy-40y^(2)-35x-...

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