HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find `dy/dx`if y = x log x (x² + 1)

The relation between price (P) and demand (D) of a cup of Tea is given by D = `12/"P"`. Find the rate at which the demand changes when the price is Rs. 2/-. Interpret the result.

The demand (D) of biscuits at price P is given by D = `64/"P"^3`, find the marginal demand when price is Rs. 4/-.

The supply S of electric bulbs at price P is given by S = 2P³ + 5. Find the marginal supply when the price is ₹ 5/- Interpret the result.

If the total cost function is given by C = 5x³ + 2x² + 1; Find the average cost and the marginal cost when x = 4.

Find the equation of the line passing through the points A(2, 0) and B(3, 4).

Line y = mx + c passes through the points A(2, 1) and B(3, 2). Determine m and c.

The vertices of a triangle are A(3, 4), B(2, 0) and C(1, 6). Find the equations of side BC

The vertices of a triangle are A(3, 4), B(2, 0) and C(1, 6). Find the equation of the median AD.

The vertices of a triangle are A(3, 4), B(2, 0) and C(1, 6). Find the equations of the line passing through the mid points of sides AB and BC.

Find the x and y-intercepts of the following line: `x/3 + y/2` = 1

Find the x and y-intercepts of the following line: `(3x)/2 + (2y)/3` = 1

Find the x and y-intercepts of the following line: 2x – 3y + 12 = 0

Find the equations of a line containing the point A(3, 4) and making equal intercepts on the co-ordinate axes.

Find the equations of the altitudes of the triangle whose vertices are A(2, 5), B(6, – 1) and C(– 4, – 3).

Find the slope, x-intercept, y-intercept of the following line : 2x + 3y – 6 = 0

Find the slope, x-intercept, y-intercept of the following line : x + 2y = 0

Write the following equation in ax + by + c = 0 form: y = 2x – 4

Write the following equation in ax + by + c = 0 form: y = 4

Write the following equation in ax + by + c = 0 form: `x/2 + y/4` = 1