List of practice Questions

The area enclosed between y² = x and y = x is

Let f(x) = x³e^–3x, x  ^gt 0. Then the maximum value of f(x) is 

Directions: The following question has four choices, out of which one or more are correct.A ray of light is incident on a reflecting surface. The ray moves in horizontal direction and is reflected vertically after striking the surface. If the surface is denoted by $y=\frac{2L}{\pi }\sin \left(\frac{\pi }{L}x\right),0\le x\le L,$ what are the coordinates of the point(s) where the ray is incident?

Directions: The following question has four choices, out of which one or more are correct.The equations of two ellipses are $\frac{x^2}{p^2}+y^2=1$ and $x^2+\frac{y^2}{p^2}=1,=1,$ where $p$ is a parameter. The locus of the points of intersection of both the ellipses is a set of curves comprising

Directions: The following question has four choices, out of which one or more are correct. A charged particle having a positive charge q approaches a grounded metallic neutral sphere of radius R with constant speed v, as shown in the figure. Which of the following alternatives is/are correct?

Which one is false ?

A 50 KVA 1- phase transformer has a full load efficiency of 95% at unity power factor and core loss is a 0 Watt. find the efficiency at 75% of full load and 0.8 power factor lag

The given amino acid reacts with:

How did Pablo Neruda know that somebody behind him was looking at him?

Quote the words used by Ram Mohan Roy to say that every religion teaches the same principles

Mean of 10 items was found to be 15. On verification, it was found that an item 21 was miscopied as 12. The correct mean is

Is this incompressible or irrotational?
\(V = 3î + 5 xĴ\)

Iqbal has to push a lighter box and Seema has to push a similar heavier box on the same floor. Who will have to apply a larger force and why?

Let \(A=\begin{bmatrix}1&-2&1\\ -2&3&1\\ 1&1&5\end{bmatrix}\)verify that -
\((i)[adjA]^{-1}=adj(A^{-1})\)
\((ii)(A^{-1})^{-1}=A\)

Sum of 1st 20 consecutive odd numbers divided by \(20^2\). find the resultant

The alkaline earth metal sulphate(s) which are readily soluble in water is/are : A $BeSO _4$ B $MgSO _4$ C $CaSO _4$ D $SrSO _4$ E $BaSO _4$ Choose the correct answer from the options given below :

The mean of six numbers is 30. If one number is excluded, the mean of the remaining numbers is 29. The excluded number is

The partial pressure of nitrogen in air is $0.76\, atm$. and its Henry?s law constant is $7.6 \times 10^4$ atm at 300 K. What is the mole fraction of $N_2$ in the solution obtained when air is bubbled through water at 300 K?

When nitrobenzene is treated with Br2 in the presence of FeBr3, m-bromo nitrobenzene is formed as a major product. The statement(s) related to this m-isomer is/are

The greatest and least value of sin x cos x are

Different parts of a leaf are modified into tendrils which help the plant in climbing up. Identify the type of tendril that is seen in .

The bulk movement of substances through the conducting or vascular tissues of plants is called:

Convention on Biodiversity came into force on: