JEE Mains · Maths · STD 12 - 8. Application and integration
The area of the region bounded by the parabola \((y-2)^{2}=(x-1)\), the tangent to it at the point whose ordinate is \(3\) and the \(\mathrm{x}\)-axis is :
- A \(9\)
- B \(10\)
- C \(4\)
- D \(6\)
Answer & Solution
Correct Answer
(A) \(9\)
Step-by-step Solution
Detailed explanation
\(y=3 \Rightarrow x=2\) Point is \((2,3)\) Diff. w.r.t \(\mathrm{x}\) \(2(y-2) y^{\prime}=1\) \(\Rightarrow y^{\prime}=\frac{1}{2(y-2)}\) \(\Rightarrow y_{(2,3)}^{\prime}=\frac{1}{2}\) \(\Rightarrow \frac{y-3}{x-2}=\frac{1}{2} \Rightarrow x-2 y+4=0\)…
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