HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Choose the correct alternative:

Area of the region bounded by the parabola y² = 25x and the lines x = 5 is ______

State whether the following statement is True or False:

The area of portion lying below the X axis is negative

State whether the following statement is True or False:

The area bounded by the curve y = f(x) lies on the both sides of the X-axis is `|int_"a"^"b" "f"(x)  "d"x| + |int_"b"^"c" "f"(x)  "d"x|`

State whether the following statement is True or False:

The equation of the area of the circle is `x^2/"a"^2 + y^2/"b"^2` = 1

The area of the shaded region bounded by two curves y = f(x), and y = g(x) and X-axis is `int_"a"^"b" "f"(x) "d"x + int_"a"^"b" "g"(x)  "d"x`

The area bounded by the parabola x² = 9y and the lines y = 4 and y = 9 in the first quadrant is ______

The area of the circle x² + y² = 16 is ______

The area of the region bounded by the curve y² = 4x, the X axis and the lines x = 1 and x = 4 is ______

The area of the region lying in the first quadrant and bounded by the curve y = 4x², and the lines y = 2 and y = 4 is ______

The area of the region bounded by the curve y² = x and the Y axis in the first quadrant and lines y = 3 and y = 9 is ______

The area of the region x² = 4y, y = 1 and y = 2 and the Y axis lying in the first quadrant is ______

The area of the region bounded by y² = 25x, x = 1 and x = 2 the X axis is ______

Find the area of the region bounded by the parabola y² = 25x and the line x = 5

Find the area of the region bounded by the curve y = `sqrt(9 - x^2)`, X-axis and lines x = 0 and x = 3

Find the area of the region bounded by the curve y = `sqrt(2x + 3)`, the X axis and the lines x = 0 and x = 2

Find the area of the region bounded by the curve 4y = 7x + 9, the X-axis and the lines x = 2 and x = 8

Find the area of the region bounded by the curve y = (x² + 2)², the X-axis and the lines x = 1 and x = 3

Find area of the region bounded by 2x + 4y = 10, y = 2 and y = 4 and the Y-axis lying in the first quadrant

Find area of the region bounded by the curve y = – 4x, the X-axis and the lines x = – 1 and x = 2

Find area of the region bounded by the parabola x² = 36y, y = 1 and y = 4, and the positive Y-axis