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CDS 2023 · PYQ · Algebra · medium

If p = a²/((b−a)(c−a)), q = b²/((c−b)(a−b)), r = c²/((a−c)(b−c)), then what is (p+q+r)² equal to?

  1. A.0
  2. B.1✓ Correct
  3. C.4
  4. D.9

Explanation

Using partial fractions identity, p+q+r = 1 for the sum of squares form. (Standard result.) So (p+q+r)² = 1.
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