Area Under Curve questions
273 published questions with worked solutions.
- The area (in sq. units) of the region A = (x, y) R R 0 x 3, 0 y 4, y x^2 + 3x is:
- Let S( ) = (x, y) : y^2 x, 0 x and A(α) is area of the region S(α). If for a λ, 0 < λ < 4, A(λ) : A(4) = 2 : 5, then λ equals:
- The area (in sq. units) of the region A = (x, y) : x^2 y x + 2 is:
- The area (in sq. units) of the region bounded by the curves y = 2^x and y = |x + 1|, in the first quadrant is:
- The area (in sq. units) of the region x R : x 0, y 0, y x - 2 and y x , is
- The area (in sq. units) of the region A = (x, y) : y^2 2 x y + 4 is:
- The area of the region A = (x, y) : 0 y x|x| + 1 and -1 x 1 in sq. units, is:
- The area (in sq. units) bounded by the parabola y = x^2 - 1, the tangent at the point (2, 3) to it and the y-axis is:
- If the area (in sq. units) of the region (x, y) : y^2 4x, x + y ≤ 1, x ≥ 0, y ≥ 0 is a 2 + b, then a − b is equal to:
- The area (in sq. units) of the region bounded by the parabola, y = x^2 + 2 and the lines, y = x + 1, x = 0 and x = 3, is:
- The area (in sq. units) in the first quadrant bounded by the parabola, y = x^2 + 1, the tangent to it at the point (2, 5) and the...
- The area (in sq. units) of the region bounded by the curve x^2 = 4y and the straight line x = 4y − 2 is:
- If the area enclosed between the curves y = kx^2 and x = ky^2, (k > 0), is 1 square unit. Then k is:
- If the area (in sq. units) bounded by the parabola y^2 = 4 x and the line y = λx, λ > 0, is 19, then λ is equal to:
- The area (in sq. units) of the region (x, y) R^2 4x^2 y 8x+12 is:
- Given : f(x)= cases x, & 0 x< 12 12, & x= 12 1-x, & 12<x 1 cases and g(x)= (x- 12 )^2, x R. Then the area (in sq. units) of the...
- The sum of squares of all possible values of k, for which area of the region bounded by the parabolas 2y² = kx and ky² = 2(y − x)...
- Three points O(0, 0), P(a, a²), Q(−b, b²), a > 0, b > 0, are on the parabola y = x². Let S_1 be the area of the region bounded by...
- The area enclosed by the curves xy + 4y = 16 and x + y = 6 is equal to:
- The area (in sq. units) of the region described by (x, y) : y² ≤ 2x, and y ≥ 4x − 1 is
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