Area Under Curve With Solution - Free MCQ Practice Test solutions, JEE

The area bounded by [x] +[y] = 8 such that x, y > 0 is .... sq. units

Where [.] is G.I.F.

Let f : [0, ∞)→ R be a continuous and strictly increasing function such that  The area enclosed by y = f (x), the x-axis and the ordinate at x = 3, is

The area bounded by x = x₁, y = y₁ and y = -(x + 1)² where x₁, y₁ are the values of x, y satisfying the equation sin^-1x + sin^-1y = -π will be, (nearer to origin)

Area bounded between the curves 

and  be two functions and let f₁(x) = max {f(t), 0 < t < x, 0 < x <} and g₁(x) = min {g(t), 0 < t < x, 0 < x < 1}. Then the area bounded by f₁(x) < 0, g₁(x) < 0 and x-axis is 

The values of the parameter a(a > 1) for which the area of the figure bounded by the pair of straight lines y² – 3y + 2 = 0 and the curves  is greatest is. 
(Here [.] denotes the greatest integer function). 

Area of region bounded by x² + y² < 4 and (|x| + |y|) < 2 is ____ square units.

The area of a circle is A₁ and the area of a regular pentagon inscribed in the circle is A₂ .Then A₁ : A₂ is 

The area bounded by the curve  and x-axis is 

 the area of the region bounded by y = x and y = x+ sin x is 

The area bounded by the curves y = x², y = [x+1], x < 1 and the y - axis, where[.] denotes the greatest integer not exceeding x, is

The area of the smaller region in which the curve  denotes the greatest integer function, divides the circle (x – 2)² + (y + 1)² = 4, is equal to 

The area bounded by the curves y = 2- |x -1| , y = sin x ; x = 0 and x =2 is 

A curve passes through the point (0,1)and has the property that the slope of the curve at every point P is twice the y–coordinate of P . If the area bounded by the curve, the axes of coordinates and the line 

The area bounded by the curve (y – arc sinx)² = x – x², is 

The area of the region enclosed by the curve 5x² + 6xy + 2y² + 7x + 6y + 6 = 0 is

Let f(x) be a continuous function such that the area bounded by the curve y = f(x), the xaxis and the two ordinates x = 0 and  

The area enclosed between the curves y = sin⁴x cos³x, y = sin²xcos³x between x = 0 and 

The area of the region bounded by the curves  which contains (1, 0) point in its interior is 

Area bounded by the curves y = e^x , y= log_e x and the lines x = 0, y = 0, y = 1 is

A circular arc of radius ‘1’ subtends an angle of ‘x’ radians, as shown in the figure. The point ‘R’ is the point of intersection of the two tangent lines at P & Q. Let T(x) be the area of triangle PQR and S(x) be area of the shaded region. Then 

A point P moves inside a triangle formed by  such that  min {PA, PB, PC} = 1. The area formed by the curve traced by P is ....... sq. units

Area of the triangle formed by the tangent and normal at (1, 1) on the curve and the y-axis is  

Area bounded by the curve  and area bounded by latus rectum of 

The area of the part of circle x² + y² - 2x - 4y -1 = 0 above 2x - y = 0 is ...... sq. units

The area bounded by the curves y = |x| – 1 and y – |x| 1is

Area of closed curve 3(x -1)² + 4(y² - 3) = 0 is  where [.] is G.I.F

Let f(x) = x + sin x. The area bounded by y = f^-1 (x), y = x, x ∈ [0, π] is 

The area of the region bounded by the curves |x + y| < 2, |x – y| < 2 and 2x² + 6y² > 3 is 

Area enclosed by the closed curve 5x² + 6xy + 2y² + 7x + 6y + 6 = 0 is