HSC Science (General) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Integrate the following w.r.t.x:

`x^2/((x - 1)(3x - 1)(3x - 2)`

Integrate the following w.r.t.x : `(1)/(sinx + sin2x)`

Integrate the following w.r.t.x :  `sec^2x sqrt(7 + 2 tan x - tan^2 x)`

Integrate the following w.r.t.x: `(x + 5)/(x^3 + 3x^2 - x - 3)`

Integrate the following w.r.t.x : `sqrt(tanx)/(sinx*cosx)`

Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

Find the expected value, variance, and standard deviation of the random variable whose p.m.f.’s are given below :

The graph of the inequality 3X − 4Y ≤ 12, X ≤ 1, X ≥ 0, Y ≥ 0 lies in fully in

Sketch the graph of inequation x ≥ 5y in xoy co-ordinate system

Find the graphical solution for the system of linear inequation 2x + y ≤ 2, x − y ≤ 1

Find the feasible solution of linear inequation 2x + 3y ≤ 12, 2x + y ≤ 8, x ≥ 0, y ≥ 0 by graphically

Find the solution set of inequalities 0 ≤ x ≤ 5, 0 ≤ 2y ≤ 7

Examine whether the statement pattern

[p → (∼q ˅ r)] ↔ ∼[p → (q → r)] is a tautology, contradiction or contingency.

The equation of X axis is ______ 

If the planes 2x – my + z = 3 and 4x – y + 2z = 5 are parallel then m = ______ 

If the foot of the perpendicular drawn from the origin to the plane is (4, −2, -5), then the equation of the plane is ______ 

The coordinates of the foot of perpendicular drawn from the origin to the plane 2x + y − 2z = 18 are ______ 

A ladder 5 m in length is resting against vertical wall. The bottom of the ladder is pulled along the ground, away from the wall at the rate of 1.5 m /sec. The length of the higher point of the when foot of the ladder is 4 m away from the wall decreases at the rate of ______