Mathematics · 2023
JEE Main · 25 January 2023, Shift 2 · Q74
Let T and C respectively be the transverse and conjugate axes of the hyperbola 16 x^2-y^2+64 x+4 y +44=0. Then the area of the region above the…
Let T and C respectively be the transverse and conjugate axes of the hyperbola $\displaystyle 16 x^2-y^2+64 x+4 y$ $\displaystyle +44=0$. Then the area of the region above the parabola $\displaystyle x^2=y+4$, below the transverse axis T and on the right of the conjugate axis C is:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 4 \sqrt{6}+\frac{28}{3}$
More from Area Under the Curve
- The area (in square units) of the region enclosed by the ellipse x^2+3 y^2=18 in the first quadrant below the line y=x is2024
- Let f:(1, ∞) → R be a function defined as f(x)=(x-1)/(x+1). Let f^i+1(x)=f(f^i(x)), i=1,2, …, 25, where f^1(x)=f(x). If g(x)+f^26(x)=0, x ∈(1, ∞),…2026
- The area (in square units) of the region bounded by the parabola y^2=4(x-2) and the line y=2 x-8, is:2024
- The area of the region A={(x, y): 4 x^2+y^2 ≤ 8. and.y^2 ≤ 4 x} is:2026
- If the area of the region {(x, y): a/x^2 ≤ y ≤ 1/x, 1 ≤ x ≤ 2,0<a<1} is ( log_e 2)-1/7 then the value of 7 a-3 is equal to:2024
- The area of the region R={(x, y): x y ≤ 27,1 ≤ y ≤ x^2} is equal to:2026
- The area of the region bounded by the curve y= max {|x|, x|x-2|}, the x -axis and the lines x=-2 and x=4 is equal to ____2025
- A line passing through the point A(-2,0), touches the parabola P: y^2=x-2 at the point B in the first quadrant. The area, of the region bounded by…2025
JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.