Numerical Methods One Mark Questions

12th Standard EM

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Business Maths

Time : 00:30:00 Hrs
Total Marks : 15
    10 x 1 = 10
  1. Δ2y0 =

    (a)

    y−2y+ y0

    (b)

    y+ 2y− y0

    (c)

    y2 + 2y1 + y0

    (d)

    y+ y+ 2y0

  2. Δf(x) =

    (a)

    f(x+ h)

    (b)

    f(x) − f(x+h)

    (c)

    f(x + h) − f(x)

    (d)

    f (x) − f(x−h)

  3. ∇ ≡

    (a)

    1+E

    (b)

    1 - E

    (c)

    1− E−1

    (d)

    1+ E−1

  4. ∇ f(a) =

    (a)

    f (a) + f(a−h)

    (b)

    f (a) − f(a + h)

    (c)

    f (a) − f(a − h)

    (d)

    f (a)

  5. For the given points (x0, y0) and (x1,y1) the Lagrange’s formula is

    (a)

    \(y(x)=\frac { x-{ x }_{ 1 } }{ { x }_{ 0 }-{ x }_{ 1 } } { y }_{ 0 }+\frac { x-{ x }_{ 0 } }{ { x }_{ 1 }-{ x }_{ 0 } } { y }_{ 1 }\)

    (b)

    \(y(x)=\frac { { x }_{ 1 }-{ x }_{ 0 } }{ { x }_{ 0 }-{ x }_{ 1 } } { y }_{ 0 }+\frac { { x }_{ 1 }-{ x }_{ 0 } }{ { x }_{ 1 }-{ x }_{ 0 } } { y }_{ 1 }\)

    (c)

    \(y(x)=\frac { x-{ x }_{ 1 } }{ { x }_{ 0 }-{ x }_{ 1 } } { y }_{ 1 }+\frac { x-{ x }_{ 0 } }{ { x }_{ 1 }-{ x }_{ 0 } } { y }_{ 0 }\)

    (d)

    \(y(x)=\frac { { x }_{ 1 }-{ x } }{ { x }_{ 0 }-{ x }_{ 1 } } { y }_{ 1 }+\frac { x-{ x }_{ 0 } }{ { x }_{ 1 }-{ x }_{ 0 } } { y }_{ 0 }\)

  6. E2.f(x) =

    (a)

    f(x + h)

    (b)

    f(x + 2h)

    (c)

    f(2h)

    (d)

    f(2x)

  7. ∆f(x + 3h)

    (a)

    f(x + 3h) - f(x + 4h)

    (b)

    f(x + 4h) - f(x + 3h)

    (c)

    f(x + h) - f(x)

    (d)

    f(x + 2h) - f(x + 3h)

  8. Δ can be defined as Δf(x) =f(x + h) -f(x) where h is the __________ interval of spacing

    (a)

    equal

    (b)

    unequal

    (c)

    equal & unequal

    (d)

    equal or unequal

  9. If c is a constant, then Δc =

    (a)

    c.∆

    (b)

    c.∇

    (c)

    0

    (d)

    1

  10. Δ(f(x) + g(x)) = ________

    (a)

    Δf(x) + Δg(x)

    (b)

    f(x) ± Δg(x)

    (c)

    f(x) Δ g(x)

    (d)

    g(x). Δf(x)

  11. 5 x 1 = 5
  12. E (Δf(x))

  13. (1)

    Δ . E. f(x)

  14. When 5 values are given, the polynomial which fits the data is of degree

  15. (2)

    4

  16. When 3 values are given, the polynomial which fits the data is of

  17. (3)

    linear

  18. When k values are given, the polynomial which fits the data is of degree

  19. (4)

    k - 1

  20. When 2 values are given the polynomial which fits the data is

  21. (5)

    parabolic

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