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If the equation ax^(2)+2hxy+by^(2)+2gx+2...

If the equation `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` represents a pair of parallel lines, then

A

`(a)/(f)=(b)/(h)=(f)/(g)`

B

`(a)/(h)=(h)/(b)=(f)/(g)`

C

`(a)/(h)=(h)/(b)=(g)/(f)`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Exercise
  1. The equation of the lines parallel to the line common to the pair of l...

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  2. Equation x^(2) +k(1)y^(2) +2k(2)y = a^(2) represents a pair of perpend...

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  3. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

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  4. If the slope of one of the lines given by ax^(2)-6xy+y^(2)=0 is twice ...

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  5. If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of pe...

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  6. If theta is the angle between the lines given by the equation 6x^2+5x ...

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  7. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

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  8. If the lines represented by x^(2)-2pxy-y^(2)=0 are rotated about the o...

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  9. The difference of the tangents of the angles which the lines x^(2)(sec...

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  10. If the two pairs of line x^2 -2mxy -y^2=0 and x^2 - 2nxy -y^2 = 0 are ...

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  11. Consider the equation of a pair of straight lines as lambda^(2)-10xy+1...

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  12. The equation y^(2)-x^(2)+2x-1=0, represents

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  13. The angle between the straight lines x^(2)-y^(2)-2x-1=0, is

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  14. If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...

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

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  16. The angle between the pair of straight lines 2x^2+5xy+2y^2+3x+3y+1=0 i...

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  17. The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4...

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  18. Distance between the lines represented by 9x^2-6x y+y^2+18 x-6y+8=0 , ...

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  19. The joint equation of the straight lines x+y=1 and x-y=4, is

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  20. If the slope of one of the lines given by ax^(2)-6xy+y^(2)=0 is square...

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