Area Under Curve questions
273 published questions with worked solutions.
- The area of the region (x,y):x^2 y 8-x^2, y 7 is -
- If the area of the region (x,y):x^2-2 y x is A, then 6A + 16 2 is equal to ______.
- If A is the area in the first quadrant enclosed by the curve C : 2x^2-y+1=0, the tangent to C at the point (1, 3) and the line x...
- The area of the region enclosed by the curve y = x^3 and its tangent at the point (–1, –1) is
- The area of the region x, y : x^2 y |x^2-4|, y 1 is :
- The area of the region enclosed by the curve f(x) = max sin x, cos x , - x and the x-axis is
- If the area bounded by the curve 2y^2=3x, lines x + y = 3, y = 0 and outside the circle (x-3)^2+y^2=2 is A, then 4( +4A) is equal...
- If the area of the region bounded by the curves y^2-2y=-x, x + y = 0 is A, then 8 A is equal to _________
- The area enclosed by the curves y^2+4x=4 and y – 2x = 2 is
- Let T and C respectively be the transverse and conjugate axes of the hyperbola 16x^2-y^2+64x+4y+44=0. Then the area of the region...
- In the area enclosed by the parabolas P_1: 2y = 5x^2 and P_2: x^2-y+6=0 is equal to the area enclosed by P_1 and y = ax, a > 0,...
- The area of the region A = (x,y):| x- x| y x,0 x 2 is
- Let A = (x,y) R^2:y 0,2x y 4-(x-1)^2 and B = (x,y) R R:0 y 2x, 4-(x-1)^2 Then the ratio of the area of A to the area of B is
- Let be the area of the region (x,y) R:x^2+y^2 21,y^2 4x,x 1 . Then 1 2 ( -21 ^ -1 2 7 ) is equal to
- Let A be the area of the region (x,y):y x^2,y (1-x)^2,y 2x(1-x) . Then 540 A is equal to________.
- Let be the area of the larger region bounded by the curve y^2=8x and the line y = x and x = 2, which lies in the first quadrant....
- Let the area of the region (x,y):|2x-1| y |x^2-x|,0 x 1 be A. Then (6A+11)^2 is equal to________.
- Let for x R, f(x) = x+|x| 2 and g(x) = cases x, & x<0 ^2, & x 0 cases Then area bounded by the curve y = (fog)(x) and the line y...
- The area of the region between the curves y = 1 + x x and y = 1 - x x bounded by the lines x = 0 and x = 4 is
- The area bounded by the curves y = x, y = |x|, y = | x| and y = | |x|| is
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