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Explore Class 12 Mathematics past and model questions by chapter, year, marks and question type.
284 questions found
Karl Pearson’s correlation coefficient is independent of:
change of origin only
change of scale only
change of origin and scale both
none of them
A committee is to be chosen from '' boys and 6 girls and is to consist 2 boys and 3 girls. If 120 committees are formed, what is the number of boys represented by ''?
when one particular person is always included?
Establish the condition that the line may be normal to the parabola .
when two particular persons are always excluded?
Define L’Hospital’s rule.
The function is:
differentiable but not continuous at $x = 0$
continuous but not differentiable at $x = 0$
both continuous and differentiable at $x = 0$
neither continuous nor differentiable at
If and are two vectors such that , then the angle between them is:
$0$
$\frac{\pi}{4}$
$\frac{\pi}{6}$
The eccentricity of the hyperbola 3x² − y² = 15 is
√(2/3)
2 / √3
3
2
Write the expansion of ; .
Solve the following linear equations by using matrix method:
In any $\triangle ABC$, if $a^4 + b^4 + c^4 = 2c^2(a^2 + b^2)$, prove that $C = 45^\circ$ or $135^\circ$
Find the correlation coefficient between and .
Calculate the supply when the price of commodity is Rs. 150.
Using simplex method, solve the following LP problem:
Maximize subject to
Solve the following system of equations by Gauss-Seidel method:
Two forces A and B acting parallel to the length and base of an inclined plane respectively, would each of them singly support a weight 'R' on the plane, prove that .
The sum of the first ‘n’ odd natural numbers is
n(n + 1)
n(n + 1) / 2
n²
n(n + 1)(2n + 1) / 6
Find the eccentricity and the focus of the ellipse
Which one of the following is the slope of normal to the curve at ?
−7