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The condition of representing the coinci...

The condition of representing the coincident lines by the general quadratic equation `f(x,y)=0` , is

A

`Delta=0, h^(2)=ab`

B

`Delta=o, a+b=0`

C

`Delta=0, h^(2)=ab, g^(2)=ac, f^(2)=bc`

D

`h^(2)=ab, g^(2)=ac, f^(2)=bc`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
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  2. The condition of representing the coincident lines by the general quad...

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  3. If in the general quadratic equation f(x,y)=0,Delta=0 and h^2=ab, then...

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  4. If m1 and m2 are the slopes of the lines represented by ax^(2)+2hxy+by...

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  5. If m1 and m2 are the slopes of the lines represented by ax^(2)+2hxy+by...

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  6. If theta is the angle between the lines represented by ax^(2)+2hxy+by^...

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  7. The lines represents by ax^2+2hxy+by^2=0 are perpendicular to each oth...

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  8. The product of perpendiculars let fall from the point (x(1),y(1)) upon...

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  9. If ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents parallel straight lines, ...

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

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

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  12. Lines represented by 4x^(2)+4xy+y^(2)=0 are

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  13. Lines represented by x^(2)-y^(2)=0 are

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  14. Lines represented by x^(2)+7xy+2y^(2)=0 are

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  15. Lines represented by x^(2)+2xy-y^(2)=0 are

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  16. If the lines represented by ax^(2)+4xy+4y^(2)=0 are real distinct, the...

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  17. if lines represented by equation px^(2)-qy^(2)=0 are distinct, then

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  18. Lines represented by px^(2)-qy^(2)=0 are real and coincident, if

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  19. Lines represented by px^(2)-qy^(2)=0 are imaginary, if

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  20. Which of the following equation does not represent a pair of li...

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