Let \(A=\left[\begin{array}{ccc}0 & 2 & -5 \\ -2 & 0 & -7 \\ 5 & 7 & 0\end{array}\right]\) and \(B=\left[\begin{array}{ccc}1 & 5 & 8 \\ 2 & 7 & 4 \\ 3 & 9 & 10\end{array}\right]\) then |AB|=

The corner points of the feasible region of LPP \(x+y \leq 200, y \geq 4 x, x \geq 20, x \geq 0, y \geq 0\) are :
(A) \((20,180)\)
(B) \((40,180)\)
(C) \((20,80)\)
(D) \((40,80)\)
(E) \((40,160)\)

Consider sets A and B, each having 4 elements. If \(f : A \to B\) be a function, then number of functions from A to B are:

If the area of an equilateral triangle is increasing at the rate of \(4 \sqrt{3} cm^2 / sec\), then the rate of increase of its perimeter when the side is 4 cm , is

In a 900 meters race, Ram gives Shyam a start of 150 meters and defeats him by 50 seconds. If the speed of Ram is 4.5 m/sec, then the speed of Shyam is

Match List-1 with List-2

List-1	List-2
(A) A fire in a factory causing production delay for some time is	(I) Secular trend
(B) Technological progress is	(II) Seasonal trend
(C) The rise in prices before big festival is example of	(III) Irregular trend
(D) Rise and fall of share market is	(IV) Cyclic trend

Choose the Correct answer from the options given below :-

The corner points of the bounded feasible region determined by the system of linear constraints are (15,0), (40,0), (4, 18) and (6, 12). If objective function is Z = 30x + 20y then the sum of the maximum and the minimum values of Z is

Identify the genetic disorder in which affected individual has a furrowed tongue, retarded mental development and broad palm?

Light of frequency \( \nu \) falls on a metal whose work function is \( h\nu_0 \). Choose the most appropriate condition from the following under which the photoelectric effect will take place.

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
Among the elements mentioned below, some are not stable in their +3 oxidation state and undergoes disproportionation reactions easily:
A. N
B. \(P\)
C. As
D. Sb
E. Bi
Choose the correct answer from the options given below:

The following reaction is an example of:

The slope of the cut off voltage versus frequency of incident light is found to be \(4.12 \times 10^{-15} Vs\).
The value of Planck's constant is :

If X is a normal variate with mean 16 and standard deviation 4, then the value of the standard normal variate Z corresponding to X = 17 is :