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NDA 2024
Exam
NDA
Year
2024
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2024 · Mathematics · Trigonometric Ratios & Identities

What is the maximum value of the a x+b x+c ?

What is the maximum value of the acos⁡x+bsin⁡x+ca \cos x+b \sin x+c ?

Options

  1. Aa2+b2+c\sqrt{a^2+b^2+c}
  2. Ba2+b2+c\sqrt{a^2+b^2}+c
  3. Ca2+b2−c\sqrt{a^2+b^2}-c
  4. Da2+b2\sqrt{a^2+b^2}

Correct answer

B. a2+b2+c\sqrt{a^2+b^2}+c

Step-by-step solution

We know Maximum value of acos⁡x+bsin⁡xa \cos x+b \sin x is a2+b2SoMaximumvalueof\sqrt{a^2+b^2} So Maximum value ofa \cos x+b \sin x+cisa2+b2+cis \sqrt{a^2+b^2}+c
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