Identify the hormone, which is NOT produced during pregnancy in women.

Arrange the stages of embryo development in a dicot plant.
(A) Heart shaped embryo
(B) Globular embryo
(C) Zygote
(D) Mature embryo
Choose the correct answer from the options given below:

Read the passage carefully and answer the given questions.
Recombinant DNA Technology
Asexual reproduction preserves the genetic information, while sexual reproduction permits variation. Traditional hybridization procedures used in plants and animals breeding very often lead to inclusion and multiplication of undesirable genes along with the desired genes. The techniques of genetic engineering, which include creation of recombinant DNA, use of gene cloning and gene transfer, overcome this limitation and allow us to isolate and introduce only one or a set of desirable genes without introducing genes into the target organism.
In Recombinant DNA Technology, what is the role of the "selectable marker gene"?

In some species of Asteraceae and grasses, seeds are produced without fertilisation. This phenomenon is knows as:

Identify the correct statement for the species diversity.

Identify the incorrect statement/s:
(A) Intestinal perforation and death may occur in severe cases of typhoid infection.
(B) Common cold is caused by Rhinoviruses.
(C) Lips and fingernails may turn grey to bluish colour in severe cases of pneumonia.
(D) Pneumonia is caused by Salmonella.
(E) Typhoid fever could be confirmed by Widal test.
Choose the answer from the options given below:

What is the primary function of the aeration tanks in the secondary treatment of sewage?

A square matrix \(B=\left[b_{i j}\right]_{n \times n}\) where
\(b_{i j}=0\) when \(i \neq j\)
\(b_{i j}=k\) when \(i=j\) for some constant \(k\) is called:

Identify the incorrect statement about the \(H _2- O _2\) fuel cell from the following:

The correct 4f sub-shell electronic configuration of Yb²⁺ion is

Match List I with List II

List - I	List - II
(A) \(|\vec{a} \times \hat{i}|^2+|\vec{a} \times \hat{j}|^2+|\vec{a} \times \hat{k}|^2\)=	(I) \(|\vec{a}|^2\)
(B) \(\frac{(\vec{a} \cdot \vec{b})^2+|\vec{a} \times \vec{b}|^2}{|\vec{b}|^2}=\)	(II) \(\sqrt{3}|\vec{a}|\)
(C) \(\vec{a}, \vec{b}\) and \(\vec{c}\) are three mutually perpendicular vectors of equal magnitude then \(|\vec{a}+\vec{b}+\vec{c}|=\)	(III) \(\frac{1}{2}|\vec{a} \times \vec{b}|\)
(D) Area of parallelogram with diagonals \(\vec{a}\) and \(\vec{b}\)	(IV) \(2|\vec{a}|^2\)

Choose the correct answer from the options given below:

The correct mathematical expression for amplitude modulated wave is :

A telescope has an eye piece of focal length 5.0 cm. The objective lens has focal length 12 times that of the eye-piece. In normal adjustment, what is the separation between the two lenses?