Let \(A=\left[\begin{array}{ccc}2 & -3 & 4 \\ 0 & 1 & 5 \\ -4 & 2 & 3\end{array}\right]\), and \(a_{i j}\) be any element of \(A, i, j \in\{1,2,3\}\), then which of the following are TRUE?
(A) Minor of \(a_{23}=16\)
(B) Minor of \(a_{23}=-8\)
(C) Cofactor of \(a_{23}=-16\)
(D) Cofactor of \(a_{23}=8\)
(E) Cofactor of \(a_{13}=4\)
Choose the correct answer from the options given below :

Let \(f\) be a function defined by \(f(x)=2 x^3-3 x^2-36 x+2\), then which of the following are correct ?
(A) The critical points of \(f ( x )\) are \(- 2\) and 3 .
(B) The function \(f(x)\) increases in the interval \((3, \infty)\)
(C) The function \(f(x)\) decreases in the interval \((-2,3)\)
(D) The function \(f(x)\) increases in the interval \((-2,3)\)
Choose the correct answer from the options given below :

If the points \((2,-3),(\lambda,-1)\) and \((0,4)\) are collinear, then the value of \(\lambda\) is:

The value of the determinant \(\left|\begin{array}{ccc}\cos ^2 \theta & \cos \theta \sin \theta & 0 \\ -\sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right|\) is equal to

Kavya takes a personal loan of ₹ 10,00,000 at the rate of 12% per annum for 5 years, then the EMI by using flat rate method is:

If the matrix \(\left[\begin{array}{ccc}-3 & x-y & 5 \\ 1 & 0 & z \\ x+y & 4 & 7\end{array}\right]\) is symmetric, then the correct option of the following, is :

Let \(x\) denote the number of heads in a simultaneous toss of three coins, then \(P(0 < x \leq 3)\)

Answer the question on the basis of passage given below :
Adsorption is a surface phenomenon and it differs from absorption which occurs throughout the body of the substance that absorbs. In physiosorption the attractive forces are mainly van der Waal's forces while in chemisorption ionic/covalent bonds are formed between particles of adsorbent and adsorbate. The catalytic activity of finely divided iron in Haber's process of ammonia manufacture can be explained by adsorption theory. Adsorption being an exothermic process, the heat of adsorption is utilised in enhancing the rate of the reaction. Adsorption has many applications being used in gas masks, control of humidity, chromatograph separation, curing diseases etc.
Which of the following is not correct regarding the adsorption of a gas on the surface of solid ?
(A) On increasing temperature, adsorption increases continuously.
(B) Enthalphy and entropy changes are negative.
(C) Chemical adsorption is more specific than physical adsorption.
(D) High temperature favours physical adsorption.
Choose the correct answer from the options given below :

If C is the original value of the asset, S is the scrap value, n is the useful life of the asset and D is the annual depreciation, then

A galvanic cell can be converted to an electrolytic cell when

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

The composition of Lucas reagent is

The hormone responsible for preparing the uterus for implantation of fertilised egg is :