Class 12 Mathematics notes and question bank — NEB Exam
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Explore Class 12 Mathematics past and model questions by chapter, year, marks and question type.

284 questions found

81
Short2mOld Question · 2082No solution yet

Find the correlation coefficient between and .

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82
Short3mOld Question · 2082No solution yet

Calculate the supply when the price of commodity is Rs. 150.

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83
Short1mOld Question · 2082Sequence and SeriesSolution available

Write the sum of cubes of first natural numbers.

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84
Short2mModel Question · 2082Solution available

Integrate:

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85
Short1mModel Question · 2082Solution available

Find the point on the curve where the tangent is parallel to the x-axis.

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86
Short1mModel Question · 2082Solution available

Define L’Hospital’s rule.

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87
MCQ1mModel Question · 2082Solution available

The function is:

A

differentiable but not continuous at $x = 0$

B

continuous but not differentiable at $x = 0$

C

both continuous and differentiable at $x = 0$

D

neither continuous nor differentiable at

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88
MCQ1mModel Question · 2082Solution available

If and are two vectors such that , then the angle between them is:

A

$0$

B

$\frac{\pi}{4}$

C

$\frac{\pi}{6}$

D

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89
Short3mModel Question · 2082Solution available

A tangent to the parabola makes an angle of with the axis of . Find the equation of the tangent.

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90
Short2mModel Question · 2082Solution available

If , prove that

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91
Short3mModel Question · 2082Solution available

Using simplex method, solve the following LP problem:
Maximize subject to


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92
MCQ1mModel Question · 2082Solution available

The number of ways in which three different digit numbers that can be formed from the integers 0, 1, 2, 3 and 4 is

A

60  

B

48  

C

125  

D

24

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93
Short1mOld Question · 2082Anti-DerivativesSolution available

Write the integral of .

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94
Short1mModel Question · 2082Solution available

Expand the following up to four terms:

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95
Short2mModel Question · 2082Solution available

Solve the following system of equations by Gauss-Seidel method:

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96
Short3mModel Question · 2082Solution available

Find the eccentricity and the focus of the ellipse

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97
Short1mOld Question · 2082Derivative and its ApplicationSolution available

Write the derivative of .

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98
Short1mModel Question · 2082Solution available

Find the fifth term of

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99
Short2mModel Question · 2082Solution available

Find the equations of the tangents to the circle
which are parallel to the line
.

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100
MCQ1mModel Question · 2082Solution available

A

$\frac{1}{\sqrt{3}} \tan^{-1}\left(\frac{x}{\sqrt{3}}\right) + c$

B

$\frac{1}{\sqrt{3}} \tan^{-1}\left(\frac{\sqrt{3}x}{1}\right) + c$

C

$\sqrt{3} \tan^{-1}\left(\frac{x}{\sqrt{3}}\right) + c$

D

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