The order and degree of the differential equation \(\frac{d^2 y}{d x^2}+2 e^{-x}=0\), respectively are :

The value of \(\int_1^2 \frac{\sqrt{x}}{\sqrt{3-x}+\sqrt{x}} d x\) is:

The point on the curve \(y^2=x\) where the tangent makes \(45^{\circ}\) angle with the \(x\)-axis is:

Let A be a non-singular matrix of order \(n \times n\)
Then \(|\operatorname{adj}(3 A)|\) is equal to:

Let \(X\) denotes the number of heads in a simultaneous toss of three coins, then \(P(0< X< 3)\) is

A swimmer's speed in still water is \(6 km / hr\). He swims between two points in a river and returns back to the starting point. He took 24 minutes more to cover the distance

A pair of dice is thrown 5 times. If getting a total of 7 is considered a success, then the probability of at least 3 successes is :

The solution X of the matrix equation AX = B, where A is an invertible matrix, is given by

What would be the amount of energy released if 1 g of a substance is converted to energy? (Given, speed of light in vacuum \(=3 \times 10^8 m s ^{-1}\) )

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
When DNA from different sources is cut by the same restriction enzymes, the resultant DNA fragments have the :

Match List I with List II

list 1	list 2
A. Vitamin A	1. Rickets
B. Vitamin C	II. Xerophthalmia
C. Vitamin B1	III. Scurvy
D. Vitamin D	IV. Beri-Beri

Choose the correct answer from the options given below:

Area of region bounded by the curve \(y^2=4 x\) y-axis and the line y = 3 is:

White phosphorous shows chemiluminescence because it: