Given: p/a + q/b + r/c = 1 and q/p + b/q + c/r = 0, where p, q, r and a, b, c are non-zero; then the value of p²/a² + q²/b² + r²/c² is...
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Correct answer: A
Explanation
p/a + q/b + r/c = 1
q/p + b/q + c/r = 0
x = p/a, y = q/b, z = r/c
x + y + z = 1
xy + yz + zx = 0
(x + y + z)² = x² + y² + z² + 2(xy + yz + zx)
1² = x² + y² + z² + 2(0)
x² + y² + z² = 1
p²/a² + q²/b² + r²/c² = 1