NEB 12 Model Questions 2020 for Maths has been provided by National Examination Board, Nepal (NEB) for it’s upcoming Class XII Examinations.
Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Time: 1.30 hrs. Full Marks: 40
Note: Group A is compulsory and select another one Group either B or C.
Attempt all the questions.
1 + 2 + 3 + … = 1 . (2)
2! 3! 4!
and Q (3,-5,-1) is divided by the ZX- plane. (2)
a = iˆ + 2 ˆj – kˆ
and b = iˆ – ˆj + kˆ,
find the projection of
b on a. (2)
(a * b)-1 = a-1 * b-1 V a, bÎ G . (4)
Find the vertices and foci of the ellipse
(x+2)2 +(y-5)2 = .
1 + sin x + cos x
State Mean value theorem. Verify it for the function f(x) = 2x2 – 10x +29
in [ 2, 7 ].
44.1 m and inclination 300 with the horizon. Divide the plane into three parts so that the body at the top of the plane may describe each part in equal interval of time. (g= 9.8ms-2) (4)
A stone is dropped into a well and the sound of its striking the water is
4 2 seconds. If the velocity of the sound is 352.8ms -1, find
the depth of the well. (g= 9.8ms -2)
Define Moment geometrically. Also state and prove the Varignon’s theorem for two intersecting forces.
x3 – 7x2 +14x – 6 = 0 in ( 0, 1 ). (4)
F =15x1+10x2 subject to 2x1+x2 < 10, x1 + 3x2 < 10; x1, x2 > . (6)
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