List of top Questions asked in COMEDK UGET

If $\tan^{-1} \left(\frac{x}{y}\right) + \log \sqrt{x^{2} +y^{2}} = 0 $ , then $\frac{dx}{dy} = $
Let $f\left(x\right) = \frac{\log\left(1+ex\right)-\log\left(1-x\right)}{x} , x\ne0 $ . Then $f$ is continuous at $x = 0$ if $f(0)$ =
Identify the placental hormone cited below
Heat of neutralization of any strong acid and strong base is always constant and $\Delta H= -57.3 \, kJ$. This is because
Helium molecule is monoatomic because
For $O_2$ molecule, molecular orbitals having lowest energy is
Food plant of Antheraea assama is
Field capacity of the soil includes
Fine structure of spectral lines is accounted in Sommerfeld atom model by considering
For yielding one molecule of glucose the Calvin cycle turns
Larger subunit of the ribosome helps in producing
Closing layers of lenticels may show the deposition of
Egg of frog is
Jute fibres are anatomically ............
The older resin clogged secondary xylem in the central part of the tree trunk and the younger outer secondary xylem which conducts water are __ and __ respectively.
Apocarpous gynoecium and rattle shaped stigma .are characteristic features of which family?
The phyllotaxy is of decussate type in
Albuminous cells are found in .........
Which one is the first heart sound ?
A set $A$ has $5$ elements. Then the maximum number of relations on $A$ (including empty relation) is
The vectors $\vec{a} = x \hat{i} + (x +1) \hat{j} + ( x +2 ) \hat{k} $ $\vec{b} = (x + 3) \hat{i} + (x +4) \hat{j} + ( x + 5 ) \hat{k} $ , and $\vec{c} = (x + 6) \hat{i} + (x + 7 ) \hat{j} + ( x + 8) \hat{k} $ are co-planar for
If $A, B, C, D$ are four points and $\vec{AB} = \vec{DC}$ , then $\vec{AC} + \vec{BD} = $
If $x^y = \log x$ , then $\frac{dy}{dx} $ at the point where the curve cuts the $x-axis$ is
The derivative of $\cos^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right) $ with respect to $\cot^{-1} \left(\frac{1-3x^{2}}{3x-x^{3}}\right)$ is
Let $f(x) = \begin{cases} -2 \sin x, &x \leq - \pi /2 \\ a \sin x +b, & - \pi /2 < x < \pi /2 \\ \cos \, x , & x \geq \pi /2 \end{cases}$ then the? values of a and b so that $f(x)$ is continuous are