For the set of all straight lines in a plane, the relation of "perpendicularity" is:
(A) reflexive but neither symmetric nor transitive.
(B) symmetric but neither reflexive nor transitive.
(C) transitive but neither reflexive nor symmetric.
(D) neither reflexive nor symmetric nor transitive.
(E) reflexive, symmetric but not transitive.
Choose the correct answer from the options given below:

Which of the following is correct about the compound annual growth rate (CAGR)?

The function \(f : R \rightarrow R\) defined by \(f(x)=\left\{\begin{array}{ll}x^2, & x \geq 1 \\ x, & x<1\end{array}\right.\) is

If \(y =\sin ^{-1} x\), then

The annual depreciation of an asset is independent of:-

If \(f(x)\) and \(g(x)\) are continuous functions and \(f \circ g\) is an identity function such that \(g^{\prime}(b)=5\) and \(g(b)=a\), then \(f(a)\) is :

Match List-I with List-II
An urn contains 4 white and 3 red balls. In a random draw of three balls, the probability of

List-I	List-II
(A) No red ball is	(I) \(\frac{12}{35}\)
(B) Only 1 red ball is	(II) \(\frac{1}{35}\)
(C) Exactly 2 red balls is	(III) \(\frac{4}{35}\)
(D) No white ball is	(IV) \(\frac{18}{35}\)

Choose the correct answer from the options given below :

Match List I with List II.

LIST I (Placental mammals)	LIST II (Australian marsupials)
A. Anteater	I. Spotted cuscus
B. Lemur	II. Tasmanian tiger cat
C. Bobcat	III. Flying phalanger
D. Flying Squirrel	IV. Numbat

Choose the correct answer from the options given below:

Consider the LPP: Max \(Z = 5x + 3y\) subject to \(3x + 5y ≤ 15, 5x + 2y ≤ 10 x ≥ 0, y ≥ 0\)
match List - I with List - II

List-I	List-II
(A) Objective function	(I) \(3x + 5y ≥ 15\)
(B) One constraint	(II) \(x, y ≥ 0\)
(C) Non-negative restrictions	(III) \(Z = 5x + 3y\)
(D) Point (1, 2) does not lie in the region	(IV) \(3x + 5y ≤ 15\)

Choose the correct answert from the option given below :

Out of the given statement, choose the correct statement.
(A) The direction ratios of the vector \(\vec{a}=3 \hat{i}-\hat{j}+4 \hat{k}\) is \(3,-1,4\).
(B) If \(\theta\) is the angle between two vectors \(\vec{a}\) and \(\vec{b}\), then their cross product is given as \(\vec{a} \times \vec{b}=|\vec{a}||\vec{b}| \cos \theta\).
(C) The unit vector in the direction of vector \(\vec{a}=\hat{i}+2 \hat{j}-2 \hat{k}\) is \(\hat{a}=\frac{1}{3}(\hat{i}+2 \hat{j}-2 \hat{k})\).
(D) If \(\vec{a}=3 \hat{i}\) and \(\vec{b}=4 \hat{j}\) then \(\vec{a} \cdot \vec{b}=12\).
(E) If \(\vec{a}\) and \(\vec{b}\) represent the adjacent sides of a triangle then its area is given of \(\frac{1}{2}|\vec{a} \times \vec{b}|\).
Choose the correct answer from the options given below :

Read the paragraph given below and answer the question. If a person is born with a hereditary disease, can a corrective therapy be taken for such a disease? Gene therapy is an attempt to do this. Gene therapy is a collection of methods that allows correction of a gene defect that has been diagnosed in a child/embryo. Here genes are inserted into a person's cells and tissues to treat disease.
The first clinical gene therapy was given in to

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.
The statement which is correct for cancer cells:

In some organisms, male has ZZ chromosomes and female has ZW chromosomes. This type of sex-determination is found in: