List of top Questions asked in KEAM

Which of the following is the equation of a hyperbola?
Three players A, B and C play a game. The probability that A, B and C will finish the game are respectively $\frac{1}{2} , \frac{1}{3}$ and $\frac{1}{4}$ . The probability that the game is finished is
The electrical conductivity of a metal is
Which statement(s) is (are) false for the periodic classification of elements?
the emission rate of blackbody at $0^{\circ}C$ is R then, the rate of emission at $273^{\circ}C$ is
$\lim_{x \to \infty} \frac{3x^3 + 2x^2 - 7x + 9 }{4x^3 + 9x - 2 }$ is equal to
Two planets A and B have the same average density. Their radii $R_A$ and $R_B$ are such that $R_A : R_B = 3 : 1$. If $g_A $ and $g_B$ are the acceleration due to gravity at the surfaces of the planets, the $g_A : g_{B}$ equals
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
The equation $5x^2 + y^2 + y = 8$ represents
The eccentricity of the ellipse $ \frac{\left(x-1\right)^{2}}{2} + \left(y + \frac{3}{4}\right)^{2} = \frac{1}{16}$ is
If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
The speed of light is vacuum is equal to
A solution contains 4 g of NaOH and 16.2 g of water. The mole fraction solute and solvent are respectively
A compound 'A'with molecular formula \({C_5H_{10}O}\)gives a positive \({2,4-DNP}\) test but a negative Tollen's test. On treatment with sodium hypochlorite, it gives \({CHCl_3}\) and compound 'B'. Compound 'B' is

Kepler's second law (law of areas) of planetary motion leads to law of conservation of

When rigid body has neither linear acceleration nor angular acceleration then it is said to be in
The equation of the tangent to the curve $y = x^3 - 6x + 5$ at $(2,1)$ is
Choose the wrong statement
The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
The equilibrium constant for the following reactions $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g), N_2(g) +O_2(g) \rightleftharpoons 2NO(g)$ and$ H_2(g) + \frac{1}{2} O_2(g) \rightleftharpoons H_2O(1g)$ are K1, K2 and K3 respectively. The equilibrium constant (K) for the reaction
If a and ??are the roots of 4x2 + 2x + 1 = 0, then ??=
A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T$. The mass of each molecule of the gas is $m$. Which of the following gives the density of the gas ?
The slope of the straight line$\frac{ x}{10 }$-$\frac{y }{4 }$ = 3 is
The hybridized state of $Al^{3+}$ in the complex ion formed when $AlCl_3$ is treated with aqueous acid is
The pair of rigid bodies with mass M and radius R, having the moment of inertia $\frac{MR^{2}}{2}$ can be