HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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 ______

Multiple choice questions:

The present value of an immediate annuity of ₹ 10,000 paid each quarter for four quarters at 16% p.a. compounded quarterly is ______

State whether the following statement is True or False:

A sinking fund is a fund established by financial organization

State whether the following statement is True or False:

The relation between accumulated value ‘A’ and present value ‘P’ is A = P(1+ i)ⁿ 

State whether the following statement is True or False:

The future value of an annuity is the accumulated values of all instalments

State whether the following statement is True or False:

Annuity contingent begins and ends on certain fixed dates

State whether the following statement is True or False:

An annuity where payments continue forever is called perpetuity

In ordinary annuity, payments or receipts occur at ______

The present value of an immediate annuity for 4 years at 10% p.a. compounded annually is ₹ 23,400. It’s accumulated value after 4 years would be ₹ ______

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 ______