List of practice Questions

Express $\left(\frac{1}{3}+3i\right)^{3}$ in the form of $a +ib$.

Express $\frac{5+\sqrt{2}i}{1-\sqrt{2}i}$ in the form of $a + ib$ .

Exophthalmic goitre is also called________ .

Expand $(1 - x + x^2)^4$.

Expansion during heating

Examples of three detergents are given below. Mark the correct statement following the examples. $(I) CH_{3}(CH_{2})_{10}CH_{2}OSO_{3}^{-}Na^{+}$

Excess pressure of one soap bubble is four times that of other. Then the ratio of volume of first bubble to second one is

Excretory organs of Cockroach are

Example of a three-dimensional silicate is:

Example of addition polymer is

Examples for lateral meristems are

Examine the given diagrammatic view of human skull given below and identify the skull bones labelled from $A$-$D$.

Example for tuberous adventitious roots

Examine the figure of pectoral girdle and forelimb and identify the parts labelled as $A$, $B$, $C$ and $D$.

Evaluate : $\int\frac{sin x}{sin 4x} dx$

Evaluate : $\int\frac{x^{3}+x}{x^{4}-9}dx$

Evaluate of the following limits. $=\displaystyle \lim_{x \to 2}$$\left\{\frac{\left(x^{2}-4\right)}{\sqrt{3x-2}-\sqrt{x+2}} \right\}=$

Evaluate: $\int\limits_{\frac{\pi}{4}}^{\frac{\pi}{2}} cos\,2x \,dx $

Evaluate: $\int\frac{sin \,2x}{sin\left(x -\frac{\pi}{3}\right) sin\left(x+\frac{\pi}{3}\right)} dx $

Evaluate: $\int\limits_{0}^{\frac{\pi}{4 }} \sqrt{1-sin\, 2x} \,\,\, dx $

Evaluate : $ \int\limits_{0}^{\pi/2}\frac{ cos \,x}{\left(cos \frac{x}{2} +sin \frac{x}{2}\right)^{3}} dx$

Evaluate: $\int\left\{\left(2x-3\right)^{5}+\frac{1}{\left(7x-5\right)^{3}}+\frac{1}{\sqrt{5x-4}}+\frac{1}{2-3x}+\sqrt{3x+2}\right\}dx$

Evaluate : $\int\left(e^{x\,log\,a} + e^{a\,log\,x} + e^{a\,log\,a} \right)dx$

Evaluate:$\int\limits_{0}^{2\pi} sin\left(\frac{\pi}{4}+\frac{x}{2}\right)dx $

Evaluate $2\,cos\,22 \frac{1^{\circ}}{2}\cdot cos\,67 \frac{1^{\circ}}{2}$.