Area Under Curve questions
273 published questions with worked solutions.
- One of the points of intersection of the curves y = 1 + 3x − 2x² and y = 1x is ( 12, 2 ). Let the area of the region enclosed by...
- The area of one region enclosed by the parabolas y = x² − 5x and y = 7x − x² is __________.
- The area enclosed between the curves y = x|x| and y = x − |x| is:
- Let the area of the region enclosed by the curves y = 3x, 2y = 27 − 3x and y = 3x − x√x be A. Then 10A is equal to
- The area of the region, enclosed by the circle x^2+y^2=2 which is not common to the region bounded by the parabola y^2=x and the...
- For a > 0, let the curves C_1:y^2=ax and C_2:x^2=ay intersect at origin O and a point P. Let the line x = b (0 < b < a) intersect...
- The area (in sq. units) of the region (x,y) R^2: x^2 y 3-2x , is :
- Consider a region R= (x,y) R^2: x^2 y 2x . If a line y= divides the area of region R into two equal parts, then which of the...
- If the area of region (x, y) : a x^2 y 1x, 1 ≤ x ≤ 2, 0 < a < 1 is (log_e2) − 17 then the value of 7a − 3 is equal to:
- The area (in sq. units) of the region (x,y): 0 y x^2+1, 0 y x+1, 1 2 x 2 is
- Let the area of the region enclosed by the curve y = min sin x, cos x and the x-axis between x = −π to x = π be A. Then A² is...
- The area of the region in the first quadrant inside the circle x² + y² = 8 and outside the parabola y² = 2x is equal to:
- The area (in sq. units) of the region A = (x, y) ; (x – 1) [x] ≤ y ≤ 2 x , 0 ≤ x ≤ 2 , where [t] denotes the greatest integer...
- The area (in sq. units) of the region A (x, y) : |x| + |y| < 1, 2y^2>|x| is :
- The area (in sq. units) of the region enclosed by the curves y=x^2-1 and y=1-x^2 is equal to :
- If the area of the region bounded by 16x² − 9y² = 144 and 8x − 3y = 24 is A, then 3(A + 6log_e(3)) is equal to _______.
- The area of the region (x,y) : y ≤ π − |x|, y ≤ |x sinx|, y ≥ 0 is:
- The area of the region bounded by the curves x+3y²=0 and x+4y²=1 is equal to:
- Let f : ℝ → ℝ be a function such that f(x)+3f(π/2−x)=sinx, x∈ℝ. Let the maximum value of f on ℝ be α. If the area of the region...
- The area of the region R = (x,y) : xy≤27, 1≤y≤x² is equal to:
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