List of practice Questions

$(x^2 + 1)2dy + (y(2x^3 + x) – 2)dx = 0, y(0) = 0,$ then y(2) is equal to
Which of the following have a pyramidal shape ?
A heater of rating of 50 W – 200 V is connected with source voltage of 100 V. Power consumed by heater is
Which of the following circuits would have the diode in conducting state?
With regard to gravitation parameters, the dimensions of $T^2$ are same as that of
Wavelengths assigned to gamma rays, infra-red rays, UV rays and microwaves are 1 , 2 , 3 & 4 respectively. Then :
$(x^2 + 1)2dy + (y(2x^3 + x) – 2)dx = 0, y(0) = 0,$ then y(2) is equal to
The radius of a circle is $\sqrt{10} .\,\, x + y = 4$ is the line intersecting the circle at P & Q. A chord MN is of length 2 m having slope –1. Find perpendicular distance between the two chords PQ and MN.
If $ f(x) =\begin{cases}\frac{(72)^x - 9^x -8^x+1}{\sqrt2-\sqrt{1+cosx}} &; x ≠0\\a\,log2\,log3 &  ; x=0\end{cases} $ is continuous at x = 0. Then $a^2$ equals to
The width of the one slit in YDSE is four times the other slit. Then ratio of maximum to the minimum intensity at screen is
The circuit diagram shown is equivalent to
logic gates
If a, b, c are in A. P. and a + 1, b, c + 3 are in G. P., arithmetic mean of a, b, c is 8, then the value of cube of geometric mean of a, b, c is:
Statement 1 : In photoelectric effect, number of photoelectrons emitted are proportional to frequency of incident light.
Statement 2 : Maximum kinetic energy of photoelectrons is proportional to frequency of incident light.
Correct match for phasors of voltage and current for given elements is
a. Inductive phasors of voltage and current for given elements
b. Capacitive phasors of voltage and current for given elements
C. Resistive phasors of voltage and current for given elements
One mole of an ideal monatomic gas compressed adiabatically from volume 2 V to V . If initially temperature of gas was T then the magnitude of work done in this process is
P, Q, R, S are 4 symmetric points on a horizontal circle of radius of 4 km. What is the displacement when a car moves from P to R along the given circular path.
A massless rod has a point mass attached to one end while the other end is hinged. The rod is released from the position shown. The speed of the mass at the bottom most point is $(R = 14 m, g = 10 m/s^2)$
If (z)2+|z|=0 and if α is sum of roots and β is product of non-zero roots, then find 4(α2+β2)
The coefficient of x7 in (1-x-x2+x3)6
\(f(x)=\frac{2x^2-3x+8}{2x^2+3x+8}\), Then sum of maximum and minimum values of f(x) is:
Find \(\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{\sin^2x}{1+2^x} \;dx\)
Three urn A, B, C, A has 7 red and 5 black balls, B has 5 red and 7 black balls, C has 6 red and 6 black balls. One urn is selected and black ball is taken out. Find probability that the selected urn is A.
Find the number of rational numbers in the expansion of \((2^{\frac{1}{5}} + 5^{\frac{1}{3}})^{15}\).
If \(f(x) =   \begin{cases}  x-2       & \quad 0\leq x\leq2\\     -2  & \quad -2\leq x\leq0   \end{cases}\) and \(h(x) = f(|x|) + |f(x)|, \int\limits^{k}_{0} h(x) dx\) is equal to _____.(k>0)
Among the following, species that have one unpaired electron: