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

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

Find area of the region bounded by the parabola x² = 4y, the Y-axis lying in the first quadrant and the lines y = 3

Find the area of the region bounded by the curve x = `sqrt(25 - y^2)`, the Y-axis lying in the first quadrant and the lines y = 0 and y = 5

Find the area of the region bounded by the curve y = `sqrt(36 - x^2)`, the X-axis lying in the first quadrant and the lines x = 0 and x = 6

Find the area of the circle x² + y² = 6² 

Find the area of the circle x² + y² = 16

State whether the following statement is True or False:

Number of arbitrary constant in the general solution of a differential equation is equal to order of D.E.

Find the differential equation by eliminating arbitrary constants from the relation y = (c₁ + c₂x)e^x 

Multiple choice questions:

Rental payment for an apartment is an example of ______

Multiple choice questions:

In an ordinary annuity, payments or receipts occur at ______

Multiple choice questions:  

In annuity calculations, the interest is usually taken as ______

Multiple choice questions:

If for an immediate annuity r = 10% p.a., P = ₹ 12,679.46 and A = ₹ 18,564, then the amount of each annuity paid is ______