JEE Mains · Maths · STD 12 - 8. Application and integration
The area (in sq. units) of the region described by \(\{(x,y):\)\({y^2} \le 2x \,and\,y \ge 4x - 1\)\(\}\) is
- A \(\frac{9}{{32}}\)
- B \(\frac{7}{{32}}\)
- C \(\frac{5}{{64}}\)
- D \(\frac{{15}}{{64}}\)
Answer & Solution
Correct Answer
(A) \(\frac{9}{{32}}\)
Step-by-step Solution
Detailed explanation
Given region is \((x, y): y^{2} \leq 2 x\) and \(y \geq 4 x-1\) \(y^{2} \leq 2 x\) repressents a region inside the persbole \(y^{2}-2 x \quad \dots(i)\) and \(y \geq 4 x-1\) represents a region to the left of the line \(y=4 x-1 \quad \ldots \ldots(ii)\) The point of intersection…
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