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Area Under the Curves · 2024 · 29 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 29 Jan · Shift 1
Mathematics
Area Under the Curves

Area Under the Curves · 2024 · 29 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

Q51.The area (in sq. units) of the part of the circle $x^{2} + y^{2} = 169$ which is below the line $5 x - y = 13$ is $\frac{π α}{2 β} - \frac{65}{2} + \frac{α}{β} sin^{- 1} (\frac{12}{13})$ , where $α, β$ are coprime…
Mathematics · Area Under the Curves · Numerical
Q56.If the points of intersection of two distinct conics $x^{2} + y^{2} = 4 b$ and $\frac{x ^{2}}{16} + \frac{y ^{2}}{b ^{2}} = 1$ lie on the curve $y^{2} = 3 x^{2}$ , then $33$ times the area of the rectangle formed by the intersection points is …
Mathematics · Area Under the Curves · Numerical