HSC Commerce: Marketing and Salesmanship 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the equation of the line: having slope 5 and making intercept 5 on the X−axis.

Find the equation of the line: having an inclination 60° and making intercept 4 on the Y-axis.

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

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

The vertices of a triangle are A (1, 4), B (2, 3) and C (1, 6). Find equations of Perpendicular bisectors of sides

The vertices of a triangle are A (1, 4), B (2, 3) and C (1, 6). Find equations of altitudes of ΔABC

if f(x) = `{(4x - 2"," x ≤ - 3),(5"," -3 < x < 3),(x^2"," x ≥ 3):},`the find f(– 3)

if f(x) = `{(4x - 2"," x ≤ - 3),(5"," -3 < x < 3),(x^2"," x ≥ 3):},`the find f(1)

if f(x) = `{(4x - 2"," x ≤ - 3),(5"," -3 < x < 3),(x^2"," x ≥ 3):},`the find f(5)

Find the graphical solution of the following system of linear inequations:
0 ≤ x ≤ 350, 0 ≤ y ≤ 150

Differentiate the following w.r.t.x :

y = `3 cotx - 5"e"^x + 3logx - 4/(x^(3/4))`

Show that `(-1 + sqrt(3) i)^3` is a real number.

Show that `(−1 + sqrt3 i)^3` is a real number.

Simplify the following and express in the form a + ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`

Show that `(−1+ sqrt3 i)^3` is a real number.

Evaluate the following limit:

`lim_(x->7)[((root3x - root3(7)) (root3x + root3(7))) / (x - 7)]`

Show that `(−1+ sqrt3 i)^3` is a real number.

Show that `(−1 + sqrt(3) i)^3` is a real number.

Show that `(-1 + sqrt3"i")^3` is a real number.

Evaluate the following:

`i^35`