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Expansion of (x^2 - y^2)

If x-a/b+c + ...

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If x-a/b+c + x-b/c+a + x-a/a+b =3, then value of x is? A. 0 B. 1 C. a+b+c D. abc

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Q. If 3x = a + b + c, then the value of (x − a)³ + (x −b)³ + (x − c)³ − 3(x − a) (x − b) (x −c) is

(a) a + b + c

(b) (a − b) (b − c) (c − a)

(c) 0

(d) none of these

\frac{x + a}{b + c} + \frac{x + b}{c + a} + \frac{x + c}{a + b} + 3 = 0, a > 0, b > 0, c > 0

, then the value of x is:

$\frac{x}{a} + \frac{x}{b} + \frac{x}{c} = 1. F i n d t h e v a l u e o f x .$

Q. If a, b, c are distinct, then the value of x satisfying

|\begin{matrix} 0 & x^{2} - a & x^{3} - b \\ x^{2} + a & 0 & x^{2} + c \\ x^{4} + b & x - c & 0 \end{matrix}| = 0 is

(a) c
(b) a
(c) b
(d) 0

Q. If system of equations ax + y + z = a, x + by + z = b and x + y + cz = c is inconsistent, then which of the following is correct?

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