List of top Questions asked in KEAM

Which of the following statement is correct?
Which of the following statement is correct?
The structure of MnO\(_4^-\) ion is:
When benzene diazonium fluoroborate is heated with aqueous sodium nitrite solution in the presence of copper, the product formed is:
Which of the following pair exhibits diagonal relationship?
In an LCR circuit, at resonance, the value of the power factor is:
Which of the following material acts as a semiconductor at 298 K?
The general solution of the differential equation \( (x + y)^2 \frac{dy}{dx} = 1 \) is:
If \( f(x) = \frac{1}{2 - x} \) and \( g(x) = \frac{1}{1 - x} \), then the point(s) of discontinuity of the function \( g(f(x)) \) is (are):
If \( \cos \theta + \sin \theta = \sqrt{2} \), then \( \cos \theta - \sin \theta \) is equal to:
If \( \vec{a} = 2\vec i + 4\vec j + 7\vec k \) and \( \vec {b} = 4\vec i + 7\vec j + 2\vec k \), then the angle between \( \vec{a} + \vec{b} \) and \( \vec{a} - \vec{b} \) is equal to:
The IUPAC name of the coordination compound Hg[Co(SCN)\(_4\)] is
An electromagnetic wave is propagating in a medium with velocity \( \vec{v} = v \hat{i} \). The instantaneous oscillating magnetic field of this electromagnetic wave is along positive \( z \)-direction. Then the direction of the oscillating electric field is in the:
If \( z = 1 + i \), then the maximum value of \( |z + 12 + 9i| \) is
If \( x + iy = \frac{3 + 4i}{5 - 12i} \), then \( x + y \) is equal to
If \( f(x) = \frac{x}{1 - x} \), \( x \neq 1 \), then the inverse of \( f \) is:
The terminal potential difference of a cell in the open circuit is 2 V. When the cell is connected to a 10$\omega$ resistor, the terminal potential difference falls to 1.5 V. The internal resistance of the cell is:
The molecule which has a see-saw structure is:
The integral \( \int_{-2}^4 x^2 |x| \, dx \) is equal to:
If \( \frac{|z - 5i|}{|z - 5i|} = 1 \), then
The torque required to increase the angular speed of a uniform solid disc of mass 10 kg and diameter 0.5 m from zero to 120 rotations per minute in 5 sec is:

In the circuit given below, the current is: 

If the parametric form of the circle is \( x = 3\cos\theta + 3 \) and \( y = 3\sin\theta \), then the Cartesian form of the equation of the circle is:
The domain of the function \( f(x) = \sqrt{7 - 8x + x^2} \) is:
The decreasing order of basic strength of amines in aqueous medium is: