Newton Raphson Method MCQ

Test your knowledge with important Newton Raphson Method MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Newton Raphson Method MCQs at Bissoy

• Jacobin equation is solved using the
  ক

  Matrix Multiplication

  খ

  LU Factorization

  গ

  Elimination Method

  ঘ

  Follow up method
• The first assumption of the NR Method is
  ক

  Assume K=0

  খ

  Assume Xi = 0

  গ

  Assume F(x) = 0

  ঘ

  Assume F’(x) = 0
• Find XK+1? If Xk = 0.5, consider a difference of 5 stages
  ক

  4.5

  খ

  5.5

  গ

  3.5

  ঘ

  Can’t be calculated
• Solve cos x = 2x?
  ক

  0.6780

  খ

  0.3456

  গ

  0.45018

  ঘ

  0.998
• In quasi Newton Method, Sk represents the
  ক

  Vector factor

  খ

  Scalar factor

  গ

  Separation factor

  ঘ

  Correction factor
• Independent variable are in the range of
  ক

  Tmin< Tj > Tmax

  খ

  Tmin> Tj > Tmax

  গ

  Tmin< Tj > Tmax

  ঘ

  Tj < Tmax
• For any instance, XK+1 is
  ক

  Xk + h

  খ

  Xk + t

  গ

  Xk + X

  ঘ

  Xk + X1
• A square nXn matrix is called
  ক

  Jacobin Matrix

  খ

  Raphson Matrix

  গ

  Newton Matrix

  ঘ

  2N Matrix
• What is Fk?
  ক

  Vector

  খ

  Matrix

  গ

  Factor

  ঘ

  Correction
• In matrix language, The Newton Raphson equation is
  ক

  Ji Yif = -Fk

  খ

  Ji Xif = -Fk

  গ

  Ji Kif = -Fk

  ঘ

  Ji Tif = -Fk
• The points where the Newton Raphson method fails are called?
  ক

  floating

  খ

  continuous

  গ

  non-stationary

  ঘ

  stationary
• If f(x) = x2-117 = 0 then the iterative formula for Newton Raphson Method is given by ____________ b) x(n+1)=0.5 c) x(n+1)=0.5 d) x(n+1)=0.25
  ক

  x(n+1)=0.25

  খ

  x(n)+\(\frac{166}{x(n)}\)

  গ

  x(n)+\(\frac{166}{x(n)}\)

  ঘ

  x(n)+\(\frac{166}{x(n)}\)
• In Newton Raphson method f’(x) for a given point is given by the formula ____________
  ক

  y/x’

  খ

  y’/x

  গ

  y/x

  ঘ

  y’/x’
• The Newton Raphson method is also called as ____________
  ক

  Tangent method

  খ

  Secant method

  গ

  Chord method

  ঘ

  Diameter method
• The value of y’/x’ in terms of the angle 0 is given by _____________
  ক

  tanθ

  খ

  secθ

  গ

  cotθ

  ঘ

  cosecθ
• The Newton Raphson method fails if __________
  ক

  f’(x0)=0

  খ

  f’’(x0)=0

  গ

  f(x0)=0

  ঘ

  f’’’(x0)=0
• At which point the iterations in the Newton Raphson method are stopped?
  ক

  When the consecutive iterative values of x are not equal

  খ

  When the consecutive iterative values of x differ by 2 decimal places

  গ

  When the consecutive iterative values of x differ by 3 decimal places

  ঘ

  When the consecutive iterative values of x are equal
• In Newton Raphson method if the curve f f(x) is constant then __________
  ক

  f’’(x)=0

  খ

  f(x)=0

  গ

  f’(x)=0

  ঘ

  f’(x)=c
• If f(x) = x2 – 153 = 0 then the iterative formula for Newton Raphson Method is given by __________ b) x(n+1) = 0.5 c) x(n+1) = d) x(n+1) =
  ক

  x(n+1) = 0.5

  খ

  x(n)+\(\frac{153}{x(n)}\)

  গ

  x(n)+\(\frac{153}{x(n)}\)

  ঘ

  x(n)+\(\frac{153}{x(n)}\)
• The Newton-Raphson method of finding roots of nonlinear equations falls under the category of which of the following methods?
  ক

  bracketing

  খ

  open

  গ

  random

  ঘ

  graphical
• Rate of convergence of the Newton-Raphson method is generally __________
  ক

  Linear

  খ

  Quadratic

  গ

  Super-linear

  ঘ

  Cubic