If \(A=\left[a_{i j}\right]_{2 \times 2}\) where \(a_{i j}=\left\{\begin{array}{ll}1, & i \neq j \\ 0, & i=j\end{array}\right.\) and \(I\) is the identity matrix of order 2 , then \(\left(A^2-3 A+4 I\right)\) is:
(A) Symmetric Matrix
(B) Skew-symmetric Matrix
(C) Non-singular Matrix
(D) Square Matrix
Choose the correct answer from the options given below:

If \(\left[\begin{array}{cc}2 x-1 & 4 x \\ 0 & y^2-1\end{array}\right]=\left[\begin{array}{cc}x+1 & 8 \\ 0 & 24\end{array}\right]\), then the value of \((x+y)\) is :

The least positive integer \(x\) satisfying \(29 \equiv x(\bmod 5)\) is

The product of order and degree of the differential equation \(\left(\frac{d^3 y}{d x^3}\right)^2+x^2 y\left(\frac{d^2 y}{d x^3}\right)^3=2 x^5\) is:

If matrix\(A_p=\left[\begin{array}{ll}p & (p+1) \\ p & (p-1)\end{array}\right], p \in \mathbb{N}\) (where \(\mathbb{N}\) is the set of natural numbers), then the value of \(\left|A_1\right|+\left|A_2\right|+\left|A_3\right|+\cdots+\left|A_{2025}\right|\) is:

Equation of a line is \(\frac{x-3}{2}=\frac{4-y}{3}=\frac{2-z}{4}\) then its direction cosines are:

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 hormone releasing IUD.

Arrange the following steps \(( A , B , C\) and D \()\) in proper sequence to determine the index correction in the given arrangement.

(A) The difference between the two gives the correction to be applied to the observed distance.
(B) The positions of the uprights are read on the scale. Their difference gives the observed distance between tip of the pin and the pole of the mirror.
(C) A thin straight index needle OP is placed so that its one end O touches the tip of the pin and the other end P touches the pole of the mirror.
(D) Length of the needle OP is measured by placing it on the scale which is the actual distance between the points in question.
Choose the correct answer from the options given below:

In n-type semiconductors, A are the majority charge carriers and B are the minority charge carriers. Here A and B are :

Which of the following is not categorized under narrowly utilitarian benefit for conserving biodiversity?

Osmotic pressure measurements are less accurate and difficult to carry out. Therefore, this method is not useful for measuring molecular weights. But it is used to find out molecular weights of polymers eg. plastics, proteins and starch having many monomer units. Knowing the value of osmotic pressure of a given solution, molecular weight of the solute can be calculated using Van't Hoff equation.
Determine the Molarity of a solution containing 4g of NaOH in 1L solution

If \(x\) is in the 1 st Quadrant, then the value of \(\tan ^{-1}\left(\frac{\sqrt{1+\cos x}+\sqrt{1-\cos x}}{\sqrt{1+\cos x}-\sqrt{1-\cos x}}\right)\) is :