HSC Arts (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

ΔOAB is formed by the lines x² - 4xy + y² = 0 and the line AB. The equation of line AB is 2x + 3y - 1 = 0. Find the equation of the median of the triangle drawn from O.

Find the coordinates of the points of intersection of the lines represented by x² − y² − 2x + 1 = 0

Find k, if the slopes of lines given by kx² + 5xy + y² = 0 differ by 1.

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^–1(y) in the following:

y = `sqrt(x)`

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^-1(y) in the following: y = `sqrt(2 - sqrt(x)`

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^-1(y) in the following: y = `root(3)(x - 2)`

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^–1(y) in the following:

y = log(2x – 1)

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^–1(y) in the following: y = 2x + 3

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^–1(y) in the following: y = e^x – 3

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^–1(y) in the following: y = e^2x-3 

Find the derivative of the function y = f(x) using the derivative of the inverse function x = f^–1(y) in the following: y = `log_2(x/2)`

Find the derivative of the inverse function of the following : y = x²·e^x 

Find the derivative of the inverse function of the following : y = x cos x

Find the derivative of the inverse function of the following : y = x ·7^x 

Find the derivative of the inverse function of the following : y = x² + log x

Find the derivative of the inverse function of the following : y = x log x

Find the derivative of the inverse of the following functions, and also find their value at the points indicated against them. y = x⁵ + 2x³ + 3x, at x = 1

Find the derivative of the inverse of the following functions, and also find their value at the points indicated against them. y = e^x + 3x + 2

Find the derivative of the inverse of the following functions, and also find their value at the points indicated against them. y = 3x² + 2logx³ 

Find the derivative of the inverse of the following functions, and also find their value at the points indicated against them. y = sin(x – 2) + x²