HSC Science (Computer Science) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

If the slope of the tangent to the curve at each of its point is equal to the sum of abscissa and the product of the abscissa and ordinate of the point. Also, the curve passes through the point (0, 1). Find the equation of the curve.

Form the differential equation of all circles which pass through the origin and whose centers lie on X-axis.

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 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 ______ 

If y = `tan^-1((2x)/(1 - x^2))`, x ∈ (−1, 1) then `("d"y)/("d"x)` = ______.

If g is the inverse of f and f'(x) = `1/(1 + x^4)` then g'(x) = ______

Find the derivative of the inverse of function y = 2x³ – 6x and calculate its value at x = −2

Let f(x) = x⁵ + 2x – 3 find (f⁻¹)'(-3)

Find the derivative of cos⁻¹x w.r. to `sqrt(1 - x^2)`