The area bounded by the curve \(x = |y|\) and the line \(x = 2\) is:

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

A car is moving along the curve \(y=x^3+12\). The point(s) on the curve at which the rate of change of its y-coordiante at a certain time is 3 times the rate of change of its x-coordinate is/are

An automobile dealer wishes to buy four luxury cars of different brands with some down payment and balance in equal monthly instalments for 10 years
The bank charges \(9 \%\) interest per annum compounded monthly
Given \(\frac{0.0075(1.0075)^{120}}{(1.0075)^{120}-1}=0.01266\)

Luxury Car	Price of the Car (in Rs.)	Down payment (in Rs.)
P	25,00,000	5,00,000
Q	35,00,000	12,00,000
R	45,00,000	15,00,000
S	42,00,000	15,00,000

Match List I with List II

List-I (Luxury Car)	List-II (EMI (in Rs.))
(A) P	(i) 34,182
(B) Q	(ii) 37,980
(C) R	(iii) 29,118
(D) S	(iv) 25,320

Choose the correct answer from the options given below :

If \(A=\left[\begin{array}{cc}4 & 3 \\ 2 & -1 \\ 1 & 0\end{array}\right]\) and \(B^T=\left[\begin{array}{ccc}1 & 2 & 3 \\ 2 & 1 & -1\end{array}\right]\), then \(A-B\) is equal to

The function \(f(x)=\frac{x-2}{x+1}, x \neq-1\) is increasing when (Where \(R\) is a set of real numbers:

If \(u=\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)\) and \(v=\tan ^{-1} x, x \in(-1,1)\), then \(\frac{d u}{d v}\) is equal to:

The approximate volume of a cube of side a meters on increasing the side by 4% is:

The area (in sq. units) of the region \(\left\{(x, y): 3 x^2 \leq y \leq|x|\right\}\) is equal to :

Rauwolfia vomitoria growing in different Himalayan ranges, is an example of :

During lockdown, Amit was suffering from heart problem. After proper check-up it was deducted that he has \(45\%\) chance of having heart attack, but yoga and meditation assumed to reduce the chance of heart attack by \(25\%\) and \(20\%\) respectively. He has option to choose any of the two options with equal probabilities. If Amit choose yoga to reduce the chance of heart attack, then the chance of heart attack is:During lockdown, Amit was suffering from heart problem. After proper check-up it was deducted that he has \(45\%\) chance of having heart attack, but yoga and meditation assumed to reduce the chance of heart attack by \(25\%\) and \(20 \%\) respectively. He has option to choose any of the two options with equal probabilities.
If Amit choose yoga to reduce the chance of heart attack, then the chance of heart attack is:

Select the examples of ex-situ conservation:
(A). Zoological parks
(B). Sanctuaries
(C). Seed banks
(D). Cryopreservation of gametes
Choose the correct answer from the options given below:

Among the following compounds, which will not undergo oxidation reaction?