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GATE DA 2026 | Linear Algebra | Memory Based | Question 25

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Let $$S_1=\{x=(x_1,x_2,x_3)\in\mathbb{R}^3 \mid x^T x \le 16\}$$ and let $S_2$ be a $2$ dimensional subspace of $\mathbb{R}^3$. The area of $S_1\cap S_2$ is

  1. $16\pi^2$
     
  2. $4\pi$
     
  3. $16\pi$
     
  4. $4\pi^2$

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