List of top Questions asked in KEAM

If \( -1 + 7i \), \( -1 + xi \) and \( 3 + 3i \) are the three vertices of an isosceles triangle which is right angled at \( -1 + xi \), then the value of \( x \) is equal to

The three vertices of a triangle are \( (0,0) \), \( (3,1) \) and \( (1,3) \). If this triangle is inscribed in a circle, then the equation of the circle is

Evaluate the integral: \( \int \frac{1}{x^3} \sqrt{1 - \frac{1}{x^2}} \text{dx} = \)

One mole of an alkene on ozonolysis gives a mixture of one mole pentan-3-one and one mole methanal. The alkene is

Consider the following statements :
(i) For every positive real number $x$, $x - 10$ is positive.
(ii) Let $n$ be a natural number. If $n^2$ is even, then $n$ is even.
(iii) If a natural number is odd, then its square is also odd.
Then

The number of arrangements containing all the seven letter of the word ALRIGHT that begins with LG is

An example of electrophilic substitution reaction is :

Which has minimum bond angle?

On an average, the number of neutrons and the energy of a neutron released per fission of a uranium atom are respectively

The semi-major axis of the orbit of Saturn is approximately nine times that of Earth. The time period of revolution of Saturn is approximately equal to

Two strings of the same material and same length are given equal tension. If they are vibrating with fundamental frequencies \( 1600 \text{ Hz} \) and \( 900 \text{ Hz} \), then the ratio of their respective diameters is

IUPAC name of the compound \([\text{Co}(\text{NH}_3)_5\text{ONO}]\text{Cl}_2\) is

For chemical reaction M \(\rightarrow\) N, the rate becomes 8 times when the concentration of M doubles, find the order of reaction with respect to M?

1-phenyl-2-chlorobutane on reaction with EtOH/EtOK produces a product which on treatment with HBr produces

When sodium fusion extract of a compound is boiled with Iron (II)sulphate and then acidified with conc.sulphuric acid blood red colour is produced. The compound is ——?

Which is incorrect regarding Bohr model?

Find A, B, C

Find the rate constant of a first order reaction A \(\rightarrow\) B reaction where \(\text{t}_{1/2} = 10 \text{ minutes}\) at \(300 \text{ K}\) is (Given log 2 = 0.3)

For a \(\text{I}^{\text{st}}\) order reaction, 99% complete in 20 minutes, then the \(\text{t}_{1/2}\) will be : (log2 = 0.3)

Which of the following orbitals donot have 4 lobes?

IUPAC official name for the element shows atomic number 110?

For a reaction \(\text{N}_2 + \text{O}_2 \rightleftharpoons 2\text{NO}\) . Given that \([\text{N}_2] = 2 \times 10^{-3}\), \([\text{O}_2] = 3 \times 10^{-3}\), \([\text{NO}] = 6 \times 10^{-6}\) Find the value of \(\text{K}_{\text{c}}\) for the reaction

Find the % of composition of carbon in methane:

Which of the following has Van't Hoff factor (i) 1.82? (m = 0.01)