The formula [where f(x_n–1) and f(x_n)have opposite sign at each step, ] of method of False Position of successive approximation to find the approximate value of a root of the equation f(x)=0 is

By bisection method, the real root of the equation lying between x=2 and x=4 is nearer to

A river is 80 feet wide. The depth d (in feet) of the river at a distance of x feet from one bank is given by the following table :

By Simpson’s rule, the area of the cross-section of the river is

If for n=4, the approximate value of integral by Trapezoidal rule is , then

If

Then

The coefficient of correlation for the following data will be

Two lines of regression are 3x+4y-7=0 and 4x+y-5=0 Then correlation coefficient between x and y is

If the variance of  x=9 and regression equations are 4x-5y+33=0 and 20x-9y-10=0, then the coefficient of correlation between x and y and the variance of y respectively are

From a random sample space, 5 students has been selected. Their marks in Maths and Statistics as given below

The rank correlation coefficient is

Two balloons A and B are taken at 300 K, maximum capacity of balloon A and balloon B are 800 ml and 1800 ml respectively. When the balloon system is heated, which one will burst first ? A B 1600 ML 700ML

terms of H.P. for k N  ,then

A particular emission line, detected in the light from a galaxy, has a wavelength , where is the proper wavelength of the line. The galaxy distance from us

Each side of triangle ABC is divided into three equal parts as shown in the figure ratio of area of hexagon PQRSTU to area of triangle ABC is

Given the family of lines, Among the lines of the family, the number of lines situated at a distance of from the point M is

If x₁ and x₂ are the solution of the equation -

The solution set of the system of equations, is

In this question, we use logarithmic property to solve the equation. Remember. Here solve both equation and find the relation between x and y and then put any variable value in one relation and find one variable.