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The Newton Raphson method is also called as ____________a)Diameter methodb)Chord methodc)Secant methodd)Tangent method

Question

The Newton Raphson method is also called as ____________

a) Diameter method
b) Chord method
c) Secant method
d) Tangent method

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Solution

The Newton-Raphson method is also called the Tangent method. This method is used for finding successively better approximations to the roots (or zeroes) of a real-valued function. The method is based on the idea of linear approximation and utilizes the tangent line at a given point on the function to approximate the roots.

Here's a brief explanation of why it’s called the Tangent method: when you want to find the root of a function f(x) f(x) , you start with an initial guess x0 x_0 . The tangent line to f(x) f(x) at x0 x_0 intersects the x-axis at a new point x1 x_1 . This point serves as a better approximation of the root. You continue this process iteratively to converge closer to the actual root.

Therefore, the correct choice is:

d) Tangent method.

This problem has been solved

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