List of top Questions asked in CBSE CLASS XII

Why should child labour be eliminated and how?
What forces conspire to keep the workers in the bangle industry of Firozabad in poverty?
What could be some of the reasons for the migration of people from villages to cities?
Is it possible to carry pride in one’s language too far?
Do you know what ‘linguistic chauvinism’ means?

Given an example of a relation. Which is
(i) Symmetric but neither reflexive nor transitive.
(ii) Transitive but neither reflexive nor symmetric.
(iii) Reflexive and symmetric but not transitive.
(iv) Reflexive and transitive but not symmetric.
(v) Symmetric and transitive but not reflexive.

How is 1-propoxypropane synthesised from propan-1-ol?Write mechanism of this reaction.

\(\int \sqrt{x^2-8x+7}dx\) is equal to

Figure 9.37 shows an equiconvex lens (of refractive index 1.50) in contact with a liquid layer on top of a plane mirror. A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle.
an equiconvex lens in contact with a liquid layer on top of a plane mirror
Integrate the function: \(e^{2x} sinx\)
Integrate the function: \(cot \ x .log\ sin\  x\)
Find the integrals of the function: \(cos^4 2x\)
Integrate the function: \(\frac{x+2}{\sqrt {x^2+2x+3}}\)
Find \(\frac {dy}{dx}\): \(2x+3y=sin\ x\)
Find \(\frac {dy}{dx}\): \(xy+y^2=tan\ x+y\)
Find \(\frac {dy}{dx}\): \(x^2+xy+y^2=100\)
Find \(\frac {dy}{dx}\): \(x^3+x^2y+xy^2+y^3=81\)
A solution is obtained by mixing 300 g of \(25\%\) solution and 400 g of \(40\%\) solution by mass. Calculate the mass percentage of the resulting solution.
How many mL of 0.1 M HCL are required to react completely with 1g mixture of \(\text{Na}_2\text{CO}_3\) and \(\text{NaHCO}_3\) containing equimolar amounts of both?
A solution of glucose in water is labelled as \(10\%\) \(\text{w/w}\), what would be the molality and mole fraction of each component in the solution? If the density of solution is \(1.2\, \text{g mL}^{–1}\), then what shall be the molarity of the solution?
Concentrated nitric acid used in laboratory work is \(68\%\) nitric acid by mass in aqueous solution. What should be the molarity of such a sample of the acid if the density of the solution is \(1.504\, \text{g mL}^{–1}?\)
Give an example of a solid solution in which the solute is a gas.
Find \(\frac {dy}{dx}:\) \(y=cos^{-1}(\frac {1-x^2}{1+x^2}),\ \ 0<x<1\)
Find \(\frac {dy}{dx}:\) \(sin^2x+cos^2y=1\)
\(Find\  \frac {dy}{dx}:\) \(y=tan^{-1}( \frac {3x-x^3}{1-3x^2}),\ \ -\frac {1}{\sqrt 3}<x<\frac {1}{\sqrt 3}\)
How much electricity is required in coulomb for the oxidation of 
(i) 1 mol of H2O to O2. 
(ii) 1 mol of FeO to Fe2O3.