Which of the following is a correct statement?

If \(A\) and \(B\) are square matrices of the same order, then \((A+B)(A-B)\) is equal to

The speed of a motorboat in still water and that of the current of water is in a ratio of \(27: 5\).
The boat goes along the current from point \(A\) to point \(B\) in 3 hours 40 minutes.
How much time will it take to come back from \(B\) to \(A\)?

If \(x=\frac{a}{1+t}\) and \(y=\frac{a}{(1+t)^2}\) where \(a>0\), then \(\frac{d^2 y}{d x^2}\) at \(t=1\) is:

If \(\vec{a}\) and \(\vec{b}\) are two non-zero orthogonal vectors, then \(|\vec{a}+\vec{b}|\) is equal to:

Choose the wrong statement from the following :

Derivative of \(\sin \left(\cos \left(x^2\right)\right)\) with respect to \(x^2\) is :

If E and F are independent events associated with an experiment, then which one of the following statements is correct?

A capacitor is charged through a potential difference of 200 V, when 0.1 C charge is stored in it. When it is discharged, the energy it will release would be :

Answer the question on the basis of passage given below :
A colloid is a heterogeneous system in which a substance is dispersed (dispersed phase) as fine particles in another substance called dispersion medium.
Their particle size is intermediate between that of pure solutions (less than 1 nm) and suspensions (greater than 1000 nm). They are known for interesting properties such as enormous surface area, Tyndall effect, Brownian motion etc.
They are widely used in industries and day to day life.
Some prominent uses of colloids are those in smoke precipitators, purification of water, medicines, cleansers etc.
Which of the following electrolyte exhibits maximum flocculating power in the coagulation of a positive metal hydroxide sol?

Match List-I (type of linkages) with List-II (Biomolecules)

List-I (Type of linkage)	List-II (Biomolecule)
(A) Glycosidic linkage	(I) Tertiary structure of proteins
(B) Peptide Linkage	(II) Disaccharide
(C) Phosphodiester linkage	(III) Primary structure of proteins
(D) Disulfide linkage	(IV) Nucleotide

Choose the correct answer from the options given below:

Match List I with List II

LIST I	LIST II
A. Phenylketonuria	I. Incomplete dominance
B. Haemophilia	II. 9:3:3:1
C. Snapdragon	III. Pleiotropy
D. Dihybrid cross	IV. Sex-linked

Choose the correct answer from the options given below:

Choose the correct statements:
A. Diamagnetic substances have non zero resultant magnetic moment.
B. The magnetisation of a paramagnetic material is inversely proportional to the absolute temperature T.
C. At high enough temperature, a ferromagnet becomes a paramagnet.
D. Magnetic permeability of ferromagnets, \(u \gg 1\)
E. Susceptibility of Diamagnetic, \(X \gg 1\)