HSC Arts (Marathi Medium) 12th Standard Board Exam [इयत्ता १२ वी] - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Differentiate the following w.r.t. x:

(x³ – 2x – 1)⁵

Find the differential equation of the family of all the parabolas with latus rectum 4a and whose axes are parallel to the x-axis

From the following set of statements, select two statements which have similar meaning.

1. If a man is judge, then he is honest.
2. If a man is not a judge, then he is not honest.
3. If a man is honest, then he is a judge.
4. If a man is not honest, then he is not a judge.

A particle is moving along the X-axis. Its acceleration at time t is proportional to its velocity at that time. Find the differential equation of the motion of the particle.

Solve the following system of equations by the method of reduction:

x + y + z = 6, y + 3z = 11, x + z = 2y.

Evaluate `int (1 + "x" + "x"^2/(2!))`dx

Find the approximate value of tan⁻¹ (1.002).
[Given: π = 3.1416]

Solve:

`1 + (dy)/(dx) = cosec (x + y)`; put x + y = u.