JEE Mains · Maths · STD 12 - 8. Application and integration
The area \((in\ square\ units)\) of the region bounded by the parabola \(\mathrm{y}^2=4(\mathrm{x}-2)\) and the line \(\mathrm{y}=2 \mathrm{x}-8\)
- A \(8\)
- B \(9\)
- C \(6\)
- D \(7\)
Answer & Solution
Correct Answer
(B) \(9\)
Step-by-step Solution
Detailed explanation
Let \( x=x-2 \) \( y^2=4 x, \quad y=2(x+2)-8\) \(y^2=4 x, \quad y=2 x-4\) \(A=\int_{-2}^4 \frac{y^2}{4}-\frac{y+4}{2}\) \(=9\)
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