Area bounded between the parabola \(y=x^2-2\) and the line \(y=x\) in square units is:

The general solution of the differential equation \(\frac{x d y}{d x}+4 y=x^3,(x \neq 0)\) is :

\(A\) runs \(3\) times as fast as \(B\) . If A gives \(B\) a start of \(30\) meters, how far must the goal on the race course be so that \(A\) and \(B\) reach it at the same time?

Area (in sq. units) of the region bounded by the curves \(y = - 1, y = 2 x = y^3\) and \(x = 0\) is

For a set A = {1, 2, 3}, the following functions are defined from A to A. Which of these functions has an inverse?

The area bounded by \(x = 1, x = 2, xy = 1\) and x-axis is :

Two runners A and B complete a 150 meters race in 24 seconds and 36 seconds respectively. By how many meters will A defeat B?

Match List-I with List-II.

List-I	List-II
A. Reimer - Tiemann reaction	I. Benzene
B. Kolbe's reaction	II. Picric acid
C. Nitration of phenol with conc. \(HNO _3\)	III. Salicylic acid
D. Reaction of phenol with zinc dust	IV. Salicyaldehyde

Choose the correct answer from the options given below:

The radii of curvature of the faces of a double convex lens of focal length 12 cm made up of glass (\(\mu=1.5\)) are 10 cm and 'p' cm respectively. The value of p is :

Read the passage carefully and answer the Questions
The concentration dependence of the rate of a reaction is called the differential rate equation. It is not always convenient to determine the instantaneous rate, as it is measured by calculating the slope of the tangent at point 't' in the concentration vs time plot. This makes it difficult to determine the rate and hence the order of the reaction. This difficulty is overcome by integrating the differential rate equation. This integrated rate equation gives a direct relation between concentrations at different times and the rate constant. The integrated rate equations are different for the reactions having different reaction orders.
Choose the correct statement regarding kinetics of a chemical reaction.

Match List-l with List-II:

List-I (Types of barriers)	List-II (Examples)
(A) Cytokine barriers	(I) Mucus coating
(B) Physical barriers	(II) Tears from eyes
(C) Cellular barriers	(III) Phagocytosis
(D) Physiological barriers	(IV) Interferons

Choose the correct answer from the options given below:

Haloalkanes can be represented by the formula

Read the passage carefully and answer the questions.
Electrochemistry is the study involving two types of processes. One type involves the production of electricity from the energy released during a spontaneous chemical reaction. Galvanic cells like Daniel cells are used to produce electricity from the redox reaction. Nernst equation of a galvanic cell gives the relation between the standard cell potential and the concentration of the species involved in the redox reaction. The second type of study involves the cells in which electrical energy is used to bring about the chemical reactions in a non-spontaneous process. The conductance of electrolytic solution depends on many factors including the nature of the electrolyte and the dimensions of the electrolytic cell.
What is the SI unit of conductivity?