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Explore Class 12 Mathematics past and model questions by chapter, year, marks and question type.
284 questions found
If for integer , what is the general value of ?
$2n\pi \pm \dfrac{2\pi}{3}$
$n\pi + (-1)^n \dfrac{\pi}{3}$
$n\pi - \dfrac{\pi}{3}$
What is the number of solutions of the system of linear equations
and ?
One solution
No solution
Infinite solutions
More than one solution
Using simplex method, maximize
subject to , ,
Forces and are acting along ceiling and floor of a rectangular room. What is the nature of the forces?
Like
Unlike
Collinear
Parallel
Find the vertices of the conic section:
.
Write the integral of
A particle is projected with a velocity and greatest height is , prove the horizontal range is:
a) Find the marginal cost function. [3]
b) Find the marginal cost for producing 12,000 maths textbooks. [2]
The price in Rupees and demand in unit of 6 days of a week is given as:
X | 10 | 12 | 13 | 12 | 16 | 15 |
|---|---|---|---|---|---|---|
Y | 40 | 38 | 43 | 45 | 37 | 43 |
Calculate the Pearson’s coefficient of correlation and the regression coefficients of on .
Find the angle between the two diagonals of a cube.
Find the direction cosines of the line joining the points and .
Given and , express and in terms of .
If $\vec{a}$, $\vec{b}$ and $\vec{c}$ are any three vectors such that
$\vec{a} \times \vec{b} = \vec{a} \times \vec{c}$ for $\vec{a} \ne (0,0)$, show that $\vec{b} = \vec{c}$.
Using matrix methods, solve the following system of linear equations:
What is the value of $C_0 + C_1 + C_2 + \cdots + C_n$?
Write the relation among $C(n,r-1)$, $C(n+1,r)$ and $C(n,r)$.
Write the general term of the expansion.
Write the binomial coefficients in the expansion.
How many terms are there in the expressions?
What is an arrangement of the natural numbers called?
Induction
Permutation
Combination
Expectation