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The equation (b-c)x+(c-a)y+a-b=0 (b^3-c^...

The equation `(b-c)x+(c-a)y+a-b=0 (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0` will represent the same line if

A

b= c

B

c = a

C

a = b

D

a+b+c = 0

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • If a, b, c are disnct then (b-c)x+(c-a)y+(a-b)=0 and (b^(3)-c^(3))x+(c^(3)-a^(3))y+(a^(3)-b^(3))=0 represent the same line when

    A
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    B
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    C
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    D
    none

  • If a,b,c are distinct then (b-c)x+(c-a)y+(a-b)=0 and (b^(3)-c^(3))x+(c^(3)-a^(3))y+(a^(3)-b^(3))=0 represent the same line when

    A
    `a=b=c`
    B
    `a+b+c=0`
    C
    `a//b=c//a`
    D
    `a-b-c=0`

  • The lines (a-b)x+(b-c)y+(c-a)=0, (b-c)x+(c-a)y+(a-b)=0, (c-a)x+(a-b)y+(b-c)=0

    A
    form an equilateral triangle
    B
    are concurrent
    C
    form an isosceles triangle
    D
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