Area Under Curve questions
273 published questions with worked solutions.
- The area of the region (x,y) : x²−8x≤y≤−x is:
- The area of the region (x,y) : 0≤y≤6−x, y²≥4x−3, x≥0 is:
- Let f : (1, ∞) → ℝ be a function defined as f(x)= x-1 x+1 . Let fⁱ⁺¹(x) = f(fⁱ(x)), i = 1, 2, …, 25, where f¹(x) = f(x). If g(x)...
- The parabola y² = 4x divides the area of the circle x² + y² = 5 in two parts. The area of the smaller part is equal to
- If the area of the region (x, y) : 0 ≤ y ≤ min 2x, 6x – x² is A, then 12 A is equal to ____
- Let the area of region (x, y) : x – 2y + 4 ≥ 0, x + 2y² ≥ 0, x + 4y² ≤ 8, y ≥ 0 be mn, where m and n are coprime numbers. Then m...
- Let the area of the region (x, y) : 0 ≤ x ≤ 3, 0 ≤ y ≤ min x² + 2, 2x + 2 be A. Then 12A is equal to ________.
- The area (in sq. units) of the part of the circle x² + y² = 169 which is below the line 5x – y = 13 is 2 - 65 2 + ^ -1 ( 12 13 ),...
- The area of the region enclosed by the parabola (y − 2)² = x − 1, the line x − 2y + 4 = 0 and the positive coordinate axes is...
- The area (in square units) of the region bounded by the parabola y² = 4(x – 2) and the line y = 2x – 8, is:
- The area of the region enclosed by the parabolas y = 4x − x² and 3y = (x − 4)² is equal to
- The area of the region (x, y): y^2 4x, x < 4, xy(x-1)(x-2) (x-3)(x-4) > 0, x 3 is
- The area, enclosed by the curves y = x+ x and y = | x- x| and the lines x = 0, x = 2 , is :
- Let f : [–3, 1] R be given as f(x)= cases (x+6),x^2 , & -3 x 0 x,x^2 , & 0 x 1 cases . If the area bounded by y = f(x) and x-axis...
- The area bounded by the curve 4y^2=x^2(4-x)(x-2) is equal to :
- The area (in sq. units) of the region bounded by the curves x^2+2y-1=0, y^2+4x-4=0 and y^2-4x-4=0, in the upper half plane is...
- The area of the region : R= (x,y):5x^2 y 2x^2+9 is :
- The area (in sq. units) of the part of the circle x^2+y^2=36, which is outside the parabola y^2=9x, is :
- If the area of the bounded region R = (x,y) : max 0, _ex 2^x, 1 2 x 2 is, ( _e2)^ -1 + ( _e2)+ , then the value of ( + -2 )^2 is...
- The area of the region bounded by y – x = 2 and x^2 = y is equal to :-
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