List of top Questions asked in KCET

If the straight lines $2x + 3y - 3 = 0$ and $x + ky + 7 = 0$ are perpendicular, then the value of $k$ is
If $a = 3, b = 4, c = 5$ each one of $a ,b$ & $c$ is perpendicular to the sum of the remaining then $| a + b + c | $ is equal to
$HCl$ gas is covalent and $NaCl$ is an ionic compound. This is because
A conducting wire carrying current is arranged as shown. The magnetic field at $'O'$
The value of $ \tan( 1^\circ) +\, tan(89^\circ)$ is
If an inheritable mutation is observed in a population at high frequency it refered to as
Continued self pollination results in
Ernest chain and Howard Florey's contribution was
Progestasert is an IUD which makes the uterus unsuitable and cervix hostile the sperms as they are
If $ f(x) = 2-2x^2,$ find $\frac {f(3,8)-f(4)} {3.8-4} $,
The half life of a radioactive substance is $20\, minutes$. The time taken between $50\%$ decay and $87.5\%$ decay of the substance will be
If $\alpha$ and $\beta$ are the roots of $x^2 - ax + b^2 = 0$, then $\alpha^2 + \beta^2$ is equal to
Write the set builder form $A = {-1, 1}$
A box contains $6$ red marbles numbers from $1$ through $6$ and $4$ white marbles $12$ through $15$. Find the probability that a marble drawn 'at random' is white and odd numbered.
A bag contains $(2 n+1)$ coins. It is known that $n$ of these coins have a head on both sides, whereas the remaining $(n+1)$ coins are fair. $A$ coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is $31 / 42$, then $n$ is equal to
Evaluate $\left|\begin{array}{ll}\cos 15 & \sin 15 \\ \sin 75 & \cos 75\end{array}\right|$
The distinguishing test between methanoic acid and ethanoic acid is
Half-life period of a first order reaction is $10\, min$. Starting with initial concentration $12\, M$, the rate after $20\, min$ is
Which vector can clone a small fragment of DNA ?
A balloon which always remains spherical is being inflated by pumping in $10$ cubic centimeters of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is $15$ cms.
Slope of Normal to the curve $y=x^2 - \frac {1}{x^2}$ at $(-1,0)$ is
Equation of line passing through the point $(2, 3, 1) $and parallel to the line of intersection of the plane $x- 2y - z + 5 = 0$ and $x + y + 3z = 6$ is
Area bounded by $y = x^3, y = 8$ and $x = 0 $ is
A person wants a real image of his own, $3$ times enlarged. Where should he stand infront of a concave mirror of radius of curvature $30\, cm$ ?
The kinetic energy of a body of mass $4\,kg$ and momentum $6\,N-s$ will be