Question
Download Solution PDFThe value of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
a2 - b2 = (a + b)(a - b)
Calculation
⇒
⇒ [(p + q - r)(p - q + r)]/[(p + q + r)(p - q + r)] + [(p + q - r)(q - p + r)]/[(p + q + r)(p + q - r)] + [(p - q + r)(q -p + r)]/[(p + q + r)(q - p + r)]
⇒ [(p + q - r)]/[(p + q + r)] + [q - p + r)]/[(p + q + r)] + [(p - q + r)]/[(p + q + r)]
⇒ [(p + q - r)]/[(p + q + r)] + [q - p + r)]/[(p + q + r)] + [(p - q + r)]/[(p + q + r)]
⇒ (p + q + r)/(p + q + r)
⇒ 1.
The value is 1.
Shortcut Trick
Let put p = q = r = 1
So,
⇒
⇒
⇒ 1/3 + 1/3 + 1/3 = 1
Hence, The value is 1.
Last updated on Jul 19, 2025
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