The equations (b - c)x + (c - a)y + a - b = 0, (b3 - c3)x + (c3 - a3)y + a3 - b3 = 0 will represent the same line if

Question

The equations (b - c)x + (c - a)y + a - b = 0, (b3 - c3)x + (c3 - a3)y + a3 - b3 = 0 will represent the same line if (A) b + c = 0 (B) b = c and c = a and a = b or a + b +c = 0 (C) a + b - 0 (D)  a + b + c ≠ 0.

Tardigrade Admin · Accepted Answer

Correct answer is (b) b = c and c = a and a = b or a + b +c = 0

Q. The equations $(b - c) x + (c - a) y + a - b = 0, (b^{3} - c^{3}) x + (c^{3} - a^{3}) y + a^{3} - b^{3} = 0$ will represent the same line if

b + c = 0

b = c and c = a and a = b or a + b +c = 0

a + b - 0

$a + b + c \neq = 0.$

Correct answer is (b) b = c and c = a and a = b or a + b +c = 0

Q. The equations(b−c)x+(c−a)y+a−b=0,(b3−c3)x+(c3−a3)y+a3−b3=0will represent the same line if

b + c = 0

b = c and c = a and a = b or a + b +c = 0

a + b - 0

a+b+c=0.

Correct answer is (b) b = c and c = a and a = b or a + b +c = 0

Q. The equations $(b - c) x + (c - a) y + a - b = 0, (b^{3} - c^{3}) x + (c^{3} - a^{3}) y + a^{3} - b^{3} = 0$ will represent the same line if

$a + b + c \neq = 0.$