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STATEMENT-1 : If a, b, c are distinct an...

STATEMENT-1 : If `a, b, c` are distinct and `x, y, z` are not all zero and `ax + by + cz = 0, bx + cy + az = 0, cx + ay + bz = 0`, then `a + b + c = 0` and STATEMENT-2 : `a^2 + b^2 + c^2 > ab + bc + ca`, if `a, b, c` are distinct.

A

Statement - 1 is True, Statement-2 is True, Statemen-2 is a correct explanation for Statement - 1

B

Statement - 1 is True, Statement - 2 is True, Statement - 2 is Not a correct explanation for Statement - 1

C

Statement - 1 is True, Statement - 21 is False

D

Statement - 1 is False, Statement - 1 is True

Text Solution

AI Generated Solution

To solve the problem, we will analyze both statements step by step. ### Step 1: Analyze Statement 1 We are given three equations: 1. \( ax + by + cz = 0 \) 2. \( bx + cy + az = 0 \) 3. \( cx + ay + bz = 0 \) ...
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