The point on the curve \(y^2=8 x\) for which the abscissa and ordinate change at the same rate is :

The function \(f(x)=x^3\), is increasing for:

The volume of spherical balloon is increasing at the rate of 4 \(cm ^3\) / sec. The rate of increase of its surface area, when the radius is 3 cm will be :-

The area (in sq. units) of the region bounded by \(y=-1, y=2, x=y^3\) and \(x=0\) is equal to

In a survey of a sample of 300 individuals, 180 gave response 'Yes',
100 gave response 'No' and 20 gave `No response'
Find the point estimate of proportion in the population who responded 'Yes'

In an LPP, the feasible region represented by the set off constraints \(2 x+3 y \leq 18, x+y \leq 10, x \geq 0, y \geq 0\) is

If a fair coin is tossed 10 times the probability of atleast 6 heads is:

Answer the question on the basis of passage given below :
Aldehydes and ketones represent two essential classes of organic compounds
which are extensively used in the synthesis of a wide variety of other organic molecules.
Due to the inherent polarity of the central carbonyl group, these substances readily undergo nucleophilic addition reactions.
Broadly speaking, these addition reactions can be categorized into two types:
one in which simple addition of the nucleophilic reagent occurs across the \(> C = O\) bond, and the second type where the initial addition is subsequently followed by the elimination of a water molecule.
A variety of ammonia derivatives, including hydroxylamine, hydrazine, phenylhydrazine,
2, 4-dinitroplhenylhdrasine, and semicarbaside, all belong to this second category of reactions.
These specific derivatives are fundamentally used for the identification and definitive characterization of aldehydes and ketones. Significantly, both types of nucleophilic addition reactions are strongly influenced by both steric and electronic factors.
As a general rule, aliphatic aldehydes exhibit higher reactivity compared to aromatic aldehydes.
The aliphatic aldehydes demonstrate the ability to reduce both Fehling's solution and Tollen's reagent, whereas aromatic aldehydes are limited to reducing only Tollen's reagent.
In a similar manner to aldehydes, aromatic ketones are observed to be less reactive than aliphatic ketones towards all nucleophilic addition reactions.
In a separate context, phenols and carborylic acids both exhibit acidic properties in nature.
Both classes of compounds readily dissolve in NaOH solution and cause blue litmus to turn red.
However, carboxylic acids stand out as much stronger acids than phenols and thus can decompose sodium bicarbonate \(\left( NaHCO _3\right)\) with the distinct evolution of \(CO _2\) gas, a reaction which phenols do not undergo.
It is important to note that both electron- donating and electron- withdrawing substituents significantly influence the acid strength of both aliphatic as well as aromatic carborylic acids.
Furthermore, unlike all other common aliphatic acids, formic acid uniquely possesses reducing properties and simultaneously does not display the typical reactions characteristic of the alkyl group.
Which of the following compound most readily undergoes nucleophilic addition reaction?

Which one of the following diseases is non-infectious?

A radioactive isotope has half-life of ' \(K\) ' years. How long will it take, so that activity reduces to \(6 . 2 5 \%\) of its original value?

Parturition is the:

Which one of the following is an incorrect statement about endosperm
production during double fertilization in plants?

The shortest distance between the lines\(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z+4}{6}\)and\(\frac{x-3}{4}=\frac{y-3}{6}=\frac{z+5}{12}\) is :