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The equation ax + by + c = 0 , represent...

The equation ax + by + c = 0 , represents a straight line

A

for all real numbers a , b and c

B

only when `a ne0`

C

only when b `ne 0`

D

only when at least one of a and b is non zero

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The equation ax^(n)+by^(n)+c=0 represents a straight line if .

    A
    `n ge 1`
    B
    `n le 1`
    C
    `n=1`
    D
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    A
    `fg = ch`
    B
    `gh = fc`
    C
    `fh = gc`
    D
    `fh = -gc`

  • Let (a,b,c)ne(0,0,0) . The pair of equations which does not represent a straight line is

    A
    `ax-by+cz+d=0,ax+b'y+cz+d=0(bneb')`
    B
    `ax-by+cz+d=0,ax+by+c'z+d=0(cnec')`
    C
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    D
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