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

161
Short2mOld Question · 2081Complex NumberSolution available

Find the square root of using De-Moivre's theorem.

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162
Short2mOld Question · 2081Solution available

Find the coefficient of correlation between price and supply.

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163
Short5mOld Question · 2081Linear Programming ProblemsSolution available

Using simplex method maximize subject to , ,

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164
ShortOld Question · 2081Sequence and SeriesSolution available

Use principle of mathematical induction to prove that

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165
ShortOld Question · 2081TrigonometrySolution available

In a triangle , , and . Solve the triangle.

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166
ShortOld Question · 2081Differential EquationsSolution available

The concept of anti-derivative is necessary for solving a differential equation. Justify the statement with an example.

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167
Short3mOld Question · 2081Solution available

Estimate supply in kg on which rate of price is Rs 150.

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168
Short2mOld Question · 2081Anti-DerivativesSolution available

Integrate

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169
ShortOld Question · 2081Differential EquationsSolution available

Write the order of differential equation .

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170
Short3mOld Question · 2081Differential EquationsSolution available

Solve :

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171
ShortOld Question · 2080Solution available

Name the theorem applicable to the figure.

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172
Short3mOld Question · 2080Solution available

For what value of r, the coefficients of xʳ and xʳ⁺¹ are equal in the expansion (1 + x)¹¹?

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173
Short2mOld Question · 2080Solution available

Using mathematical induction, prove that:
n! ≥ 2ⁿ for n ≥ 4

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174
MCQ1mOld Question · 2080Solution available

Consider ‘*’ is binary operation on set A. Which one of the following is associative law? a, b, c, e and a⁻¹ are elements of A.

A

a * b = b * a

B

(a*b) * c =a*(b*c)

C

a *a⁻¹ = a⁻¹ * a = e

D

a *(b *c) = (a* b) *c

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175
ShortOld Question · 2080Solution available

Name the theorem for positive integer n.

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176
Short2mOld Question · 2080Solution available

Find the foci and centre of the hyperbola with equation:
9x² − 16y² − 144 = 0

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177
MCQ1mOld Question · 2080Solution available

Which one of the following is general solution for 2cosθ - 1 = 0?

A

nπ + (-1)ⁿ π/3, n ∈ I

B

nπ ± π/3, n ∈ I

C

nπ + π/3, n ∈ I

D

2nπ ± π/3, n ∈ I

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178
ShortOld Question · 2080Solution available

What does ‘θ’ represent in the above statement?

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179
MCQOld Question · 2080Solution available

What is the domain of y = sin⁻¹x?

A

(-1, 1)

B

(-∞, ∞)

C

[0, 1]

D

[-1, 1]

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180
Short3mOld Question · 2080Solution available

An equation relating to stability of an aeroplane is
dv/dt = g cos α − kv

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