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

41
Very Short1Old Question · 2083Permutation and CombinationSolution available

Write any one property of combination.

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42
Short3Old Question · 2083Solution available

A particle of mass 5 kg slides down a 30° inclination of the plane. If smooth inclined plane to the horizontal is . Find the acceleration of the particle and reaction between the particle and the plane.

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43
MCQ1mOld Question · 2083DynamicsSolution available

In a projectile, initial velocity is and angle of projection is , what is its time of flight?

A

B

C

D

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44
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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45
Short1mModel Question · 2082Solution available

Write the derivative of .

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46
Short1mModel Question · 2082Solution available

Define L’Hospital’s rule.

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47
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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48
Short2mModel Question · 2082Solution available

If $A = 30^\circ$, $B = 45^\circ$ and $a = 6\sqrt{2}$, solve the triangle.

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49
Short3mModel Question · 2082Solution available

In any $\triangle ABC$, if $a^4 + b^4 + c^4 = 2c^2(a^2 + b^2)$, prove that $C = 45^\circ$ or $135^\circ$

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50
Short1mOld Question · 2082Complex NumberSolution available

State De-Moivre's theorem.

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51
MCQ1mModel Question · 2082Solution available

In Gauss elimination method, the coefficient of the first variable in the first equation must be:

A

zero

B

non-zero

C

negative

D

positive

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52
MCQ1mModel Question · 2082Solution available

The order and degree of the differential equation

are:

A

3 and 2

B

3 and 1

C

3 and 4

D

3 and 3

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53
Short1mModel Question · 2082Solution available

Write the integral of

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54
Short1mModel Question · 2082Solution available

when two particular persons are always excluded?

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55
Short1mModel Question · 2082Solution available

when one particular person is always included?

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56
MCQ1mModel Question · 2082Solution available

Karl Pearson’s correlation coefficient is independent of:

A

change of origin only

B

change of scale only

C

change of origin and scale both

D

none of them

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57
Short3mModel Question · 2082Solution available

Using vector method, prove that
$\frac{a}{\sin A} = \frac{b}{\sin B}$

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58
Short1mModel Question · 2082Solution available

Write the expansion for

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59
MCQ1mModel Question · 2082Solution available

Which of the following is the area of a triangle ABC

A

abc / 4R

B

√[s(s − a)(s − b)(s − c)]

C

1/2 bc sin A

D

all of the above

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60
Short1mOld Question · 2082Derivative and its ApplicationSolution available

Write the derivative of .

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