If A and B are skew-symmetric matrices, then which of the following is not true?

The planes 2x - y + 4z = 5 and \(5 x-\frac{5}{2} y+10 z=6\) are

The minimum value of the objective function \(Z=x+2 y\) of an L.P.P. subject to constraints
\(2 x+y \geq 3, \frac{x}{2}+2 y \geq 6, x \geq 0, y \geq 0\) is

The linear programming problem: Minimise \(Z=3 x+2 y\)
Subject to constraints: \(x+y \geq 8, \quad 3 x+5 y \leq 15, \quad x \geq 0, y \geq 0\) has

In a 700 m race, the ratio of speeds of two participants A and B is 5: 6. If A has a start of 150 m, then the distance by which A wins the race is :

The following data are from a random sample : \(5,8,10,7,10,14\), then the point estimate of the population standard deviation is

If the corner points of bounded feasible region for an LPP are (0, 2), (3,0), (6,0), (6, 8) and (0,5) then the minimum value of the objective function \(f = 4x + 6y\) occur at

If \(\vec{a}\) and \(\vec{b}\) are two non-zero vectors such that \(\vec{a} \cdot \vec{b}=|\vec{a} \times \vec{b}|\), then angle between \(\vec{a}\) and \(\vec{b}\) is :

Chemically, which of the following hormones is a polypeptide?

A function \(f: R \rightarrow R\) defined by \(f(x)=\frac{x}{x^2+1}\) is (where \(R\) is the set of real numbers) :

Read the passage carefully and answer the following questions
Aldehydes, carboxylic acids and ketones are widespread in the animal and plant kingdoms. They play a pivotal role in various biochemical processes of life. Their presence in nature adds fragrance and flavor. These compounds are widely used in food products, pharmaceuticals, paints, resins and other important product industries. These compounds are prepared by various laboratory methods, which mainly include oxidation, formylation, acylation and reduction. Due to the polar nature of the carbonyl group in aldehydes and ketones, they can exhibit different reactions like nucleophilic addition. They do exhibit redox and various condensation reactions which lead to the formation of various important compounds. On the other hand, the carboxylic acids are mainly prepared by oxidation and hydrolysis of different compounds. The carboxylic acid consists of a carbonyl group and the hydroxy group (attached to the carbonyl carbon atom). This makes it possible for the carboxylic acid to participate in various chemical reactions which involve cleavage of the C-OH bond and the O-H bond along with the reactions involving the complete - COOH group.
Identify the incorrect statement for Cannizaro reaction.

A 12 pF capacitor is connected to a 50 V battery. The electrostatic energy stored in the capacitor is

Observe the given figures and answer the question

The conditions created by Miller in his experiment were: