Let A be a square matrix of order n, then which of the following are TRUE?
(A) \(|\operatorname{adj} A|=|A|^{n-1}\)
(B) \(|A \cdot \operatorname{adj} A|=|A|^n\)
(C) A. (adj A) = |A|
(D) |KA| = K|A|
(E) \(\left|A^{-1}\right|=\frac{1}{|A|},|A| \neq 0\)
Choose the correct answert from the option given below :

The integral \(\int_0^1 x(1-x)^n d x\) is equal to :

If \(f(x)=|2 x+5|\), then \(f(x)\) is :

If a matrix has 24 elements, which of the following cannot be the possible order of the matrix?

If a line makes angles \(90^{\circ}, 60^{\circ}\) and \(\theta\) with x, y and z axis respectively, where \(\theta\) is acute, then value of \(\theta\) is :

The slope of the normal to the curve \(y^2=16 x\) at the point \((1,4)\) is :

If \(A\) is a square matrix, then \(\left(A^T-A\right)\) is-

The distance estimation for which ray optics is good approximation for an aperture of 3 mm and wavelength 300 nm would be :

Arrange the following stages of oogenesis in correct sequence of their formation.
(A) Secondary oocyte
(B) Oogonials
(C) Ovum
(D) Primary oocyte
Choose the correct answer from the options given below:

The frequency of a photon whose energy is 66.3 eV would be
(Given \( h = 6.63 \times 10^{-34} \text{ Js} \))

Read the passage carefully. Attempt the questions.
In our body, cell growth and differentiation is highly controlled and regulated. In cancer cells, there is breakdown of these regulatory mechanisms. Cancerous cells just continue to divide giving rise to masses of cells called tumors. Benign tumors normally remain confined to their original location. The malignant tumors, on the other hand are a mass of proliferating cells. These cells actively divide and starve the normal cells by competing for vital nutrients. Cells sloughed from such tumors reach distant sites through blood, and wherever they get lodged in the body, they start a new tumor there. This property is called metastasis. Transformation of normal cells into cancerous cells may be induced by physical, chemical or biological agents called carcinogens.
Tobacco smoke been identified as a major cause of:

Which of the following in NOT true for Bt toxin ?
(A) It is produced by Bacillus thuringiensis
(B) It is produced in active form
(C) It exist as inactive protoxin
(D) It is used to produce nematode-resistant plants
Choose the correct answer from the options given below :

A cell supplies a current of 0.6 A through a 3 \( \Omega \) resistor and a current of 0.2 A through a 10 \( \Omega \) resistor. The internal resistance of the cell is :