Consider the following statements in respect of the polynomial a(b - c) (x - b) (x - c) + b(c - a) (x - c) (x - a) + c(a - b) (x - a) (x - b): 1. The coefficient of x 2 is 0. 2. The coefficient of x is (a - b) (b - c) (c - a). Which of the statements given above is/are correct ?

UPSC CDS 1 2023 Math Paper

Question : 42 of 100

Marks: +1, -0

Consider the following statements in respect of the polynomial a(b - c) (x - b) (x - c) + b(c - a) (x - c) (x - a) + c(a - b) (x - a) (x - b):
1. The coefficient of x²is 0.
2. The coefficient of x is (a - b) (b - c) (c - a).
Which of the statements given above is/are correct ?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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