A function \(f:[0,2] \rightarrow R\) is strictly increasing in \([0,1]\) and strictly decreasing in \([1,2]\). Then which statement is TRUE?

The probability that a leap year selected at random will have 53 Mondays is

Consider the line \(\vec{r}=-2 \hat{i}+3 \hat{j}+\hat{k}+\lambda(5 \hat{i}-3 \hat{j}-\hat{k})\). Match List-I with List-II

List-I	List-II
(A) A point on the given line	(I) \(\left(\frac{5}{\sqrt{35}}, \frac{-3}{\sqrt{35}}, \frac{-1}{\sqrt{35}}\right)\)
(B) Direction ratios of the given line	(II) (2, 3, 1)
(C) Direction cosines of the given line	(III) (5, -3, -1)
(D) Direction ratios of a line perpendicular to given line	(IV) (-2, 3, 1)

Choose the correct answer from the options given below:

\(\int e^x\left(\tan ^{-1} x+\frac{1}{1+x^2}\right) d x\) is equal to :

The area (sq. units) bounded by the curve \(y=\sin x, \pi \leq x \leq 2 \pi\) and the \(x\)-axis is

The absolute maximum value of the function \(f(x)=4 x-\frac{1}{2} x^2\) in the interval \(\left[-2, \frac{9}{2}\right]\) is

The point estimate of the population standard deviation for the random sample \(5,8,10,7,10,14\) is :

The area of the triangle whose vertices are \((3,8),(-4,2)\) and \((5,1)\) is

Observe the given figures and answer the question

Miller's experiment resulted in the acceptance that the formation of life was
preceded by:

Total number of one-one functions from the set \(A=\{1,2,3,4\}\) to the set \(B=\{a, b, c, d\), e \(\}\) are:

The Q-factor of a resonant LCR series AC circuit is given by

If \( \mu_0 \) is the permeability and \( \epsilon_0 \) is the permittivity of free space, then the velocity of light (c) is:

Read the passage carefully and give the answers to the question :
India was amongst the first countries in the world to initiate action plans and programmes at a national level to attain total reproductive health as a social goal.
These programmes called 'family planning' were initiated in 1951 and were periodically assessed over the past decades. Improved programmes covering wider reproduction-related areas are currently in operation. Creating awareness among the people about various reproduction-related aspects and providing facilities and support for building up a reproductively healthy society are the major tasks under these programmes.
Which of the following statements is incorrect with respect to Medical Termination of Pregnancy?