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TS EAMCET · Maths · Area Under Curves

The area (in sq. units) bounded by the parabola \(y=x^2+3\), the tangent to the parabola at \((3,12)\) and the coordinate axes and lying in the first quadrant is

  1. A 6
  2. B 30
  3. C 18
  4. D 24
Verified Solution

Answer & Solution

Correct Answer

(A) 6

Step-by-step Solution

Detailed explanation

Given parabola, \(y=x^2+3\) Tangent of parabola at \((3,12)\) is \(\frac{Y+12}{2}=3 x+3 \Rightarrow Y=6 x-6\)…