Question
Download Solution PDFमान लीजिए f(x) = ax7 + bx3 + cx - 5, जहां a, b और c नियतांक हैं। यदि f(-7) = 7, तो f(7) बराबर है
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसही उत्तर विकल्प 1 है।
दिया गया है: f(x) = ax7 + bx3 + cx - 5, जहाँ a, b और c नियतांक हैं। अगर f(-7) = 7,
गणना:
⇒ f(x) = ax7 + bx3 + cx - 5,
यदि f(-7) = 7,
⇒ f(-7) = a(-7)7 + b(-7)3 + c(-7) - 5
⇒ 7 = -77a -73b - 7c - 5
⇒ 7 + 5 = -(77a + 73b + 7c)
⇒ (77a + 73b + 7c) = - 12 ----(1)
⇒ f(7) = a(7)7 + b(7)3 + c(7) - 5,
⇒ f(7) = 77a + 73b + 7c - 5 -----(2)
समीकरण (1) और (2) से
⇒ f(7) = -12 - 5 = -17
अत,: f(7) का मान -17 होगा।Last updated on Jun 3, 2025
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