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

Find the area of sector bounded by the circle x² + y² = 25, in the first quadrant−

Find the area enclosed between the X-axis and the curve y = sin x for values of x between 0 to 2π

Find the area of the ellipse `x^2/36 + y^2/64` = 1, using integration

Find the area of the region lying between the parabolas 4y² = 9x and 3x² = 16y

Find the area of the region included between y = x² + 5 and the line y = x + 7

Find the area enclosed between the circle x² + y² = 9, along X-axis and the line x = y, lying in the first quadrant

Given that X ~ B(n, p). If n = 10, p = 0.4, then E(X) = ______

If X ~ B(n, p), E(X) = 12, V(X) = 4, then find n

State the formula for p.m.f. of Binomial Distribution

A Fair coin is tossed 5 times, find the probability that coin shows exactly three times head

A fair coin is tossed 5 times, find the probability that no head 

The probability that certain kind of component will survive a check test is 0.6. Find the probability that exactly 2 of the next 4 tested components survive

Find the probability of guessing correctly at least nine out of ten answers in a "true" or "false" objective test

A fair coin is tossed 8 times. Find the probability that it shows heads exactly 5 times

A fair coin is tossed 8 times. Find the probability that it shows heads at least once

The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation none will recover

The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation half of them recover.

Solve for x `tan^-1((1 - x)/(1 + x)) = 1/2 tan^-1x, x > 0`

If f(x) = x⁵ + 2x – 3, then (f^–1)¹ (–3) = ______.

Find the principal value of `cot^-1 ((-1)/sqrt(3))`