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TS EAMCET · Maths · Area Under Curves

The area of the triangle formed by the positive \(X\)-axis, the tangent and normal to the curve \(x^2+y^2=16 \alpha^2\) at the point \((2 \sqrt{2} a, 2 \sqrt{2} a)\) is

  1. A \(a^2\)
  2. B \(16 a^2\)
  3. C \(4 a^2\)
  4. D \(8 a^2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(8 a^2\)

Step-by-step Solution

Detailed explanation

Given curve is \( x^2+y^2=16 a^2 \) On differentiating Eq. (i) w.r.t. \(x\), we get…