The refractive index of the material of an equilateral prism is \(\sqrt {2}\). The angle of minimum deviation of that prism is

The area of region bounded by two curves \(y^2=x\) and \(x^2=y\) is:

The order of the differential equation of the family of curves \(y^2=4 a(x+a)\) where a is an arbitrary constant is :

If \(A\) is a square matrix of order 3 and \(|A|=4\), then the value of \(\left|2 A^T\right|\) is

The solution set of the inequation \(|2 x-3| \leq 4\) is

For the differential equation \(y d x-\left(x+3 y^2\right) d y=0\), which of the following statements are true?
(A) It is a linear differential equation
(B) It is a homogenous differential equation
(C) Its general solution is \(x=3 y^2+C y: C\) is an arbitrary constant
(D) If \(y(0)=1\), then its particular solution is \(x=3 y^2-1\)
Choose the correct answer from the options given below:

Consider the non-empty set consisting of children in a family and a relation R is defined as aRb if a is a brother of b. Then R is:

Identify the correct statement in the context of Rutherford scattering of \( \alpha \)-particles by a target nucleus:

Read the passage carefully and answer
Carbohydrates are essential for both plants and animals. Some common examples of carbohydrates are glucose, fructose, sucrose, glycogen, cellulose and starch. They form a major portion of our food. Honey has been used for a long time as an instant source of energy in Ayurvedic medicine. Carbohydrates are used as storage molecules in both plants and animals. The cell wall of bacteria and plants is made of cellulose. We use cellulose in the form of wood for making furniture and as cotton fiber for clothing. They also provide raw material for textiles, paper, lacquers, and breweries. Carbohydrates are classified as Monosaccharides, Oligosaccharides and Polysaccharides on the basis of their behavior towards hydrolysis.
Monosaccharides cannot be hydrolyzed further to simpler units whereas oligosaccharides can yield 2-10 units of monosaccharides on hydrolysis. Polysaccharides, which are non-sugars yield a large number of monosaccharide units on hydrolysis.
Answer the following questions about carbohydrates:
Animal starch is popularly known as

Ram invested Rs. 20,000 in a mutual fund in the year 2012.
The value of the mutual fund increased to Rs. 32,000 in the year 2017.
The compound annual growth rate (CAGR) of his investment is (Given : \((1.6)^{\frac{1}{5}}=1.098\))

The half life of a radioactive element is \(1 4 0\) days. After \(5 6 0\) days, one gram of the element will be reduced to:

\(\cos \left(\frac{\pi}{6}-\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)\right)\) is equal to:

Match List - I with List - II.

List - I (Molecule)	List - II (Application)
(A) Statin	(I) Immunosuppressive agent
(B) Streptokinase	(II) Detergent formulations
(C) Cyclosporin A	(III) Blood-cholesterol lowering agent
(D) Lipase	(IV) Clot buster

Choose the correct answer from the options given below: