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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Ellipse

NDA 2023 · Mathematics · Ellipse

Given that 4 x^2+y^2=9 What is the maximum value of y?

Given that 4x2+y2=94 x^2+y^2=9 What is the maximum value of y?

Options

  1. A32\frac{3}{2}
  2. B3
  3. C4
  4. D6

Correct answer

B. 3

Step-by-step solution

Since, 4x2+y2=9⇒y=±9−4x24 x^2+y^2=9\Rightarrow \mathrm{y}= \pm \sqrt{9-4 \mathrm{x}^2} So, max value of y=3y=3
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