List of top Questions asked in UPSEE

The perimeter of the locus represented by arg $\left( \frac{z + i}{z-i}\right) = \frac{\pi}{4}$ is equal to

The number of solutions of the equation $\sin \, 2x + 2 \, \sin \, x - \cos \, x - 1 = 0$ in the range $0 \leq x \leq 2 \pi$ is

If $(1 + \tan \, 1^{\circ})(1 + \tan \, 2^{\circ}) ...... (1 + \tan \, 45^{\circ}) = 2^n$, then n is

If $\cos^{-1} \frac{3}{5} + \cos^{-1} \frac{12}{13} = \cos^{-1} k$, then the value of $k$ is

If $\cos \, 3x \, \cos \, 2x \, \cos \, x = \frac{1}{4} $ and $0 < x < \frac{\pi}{4}$, then the value of $x$ is

Which of the following reactions is a redox reaction

Species which are closely related, morphologically similar, reproductively isolated, live in sympatric population are designated as:

Actinomorphic condition can be represented as:

Which of the following is formed by mesoderm of Gastrula?

Urinary Bladder is absent in all birds, except

Which one of the following has (have) octahedral geometry ? (i) $SbCl^{-}_6$ (ii) $SnCl^{2-}_6$ (iii) $XeF_6$ (iv) $IO^{5-}_6$

Radii of two conducting circular loops are b and a respectively where b > > a. Centers of both loops coincide but planes of both loops are perpendicular to each other. The value of mutual inductance for these loops

Which colour of light is most effective for photo synthesis?

A block of mass of 1 kg is moving on the x axis. A force F acting on the block is shown. Velocity of the block at time $t = 2\, s$ is - $3 \,m/s$ What is the speed of the block at time t = 4s ?

Which of the following compounds will exhibit geometrical isomerism?

$A\, 6\%$ solution of sucrose $C_{22}H_{22} O_{11}$ is isotonic with $3\%$ solution of an unknown organic substance. The molecular weight of unknown organic substance will be:

A string has a length of 5m between fixed points and has fundamental frequency of 20 Hz. What is the frequency of the second overtone ?

In Bryophyta, a specialized organ of the sporophyte for attachment to the gametophyte is called :

For the reaction $2 HI (g) \rightleftharpoons H _{2}(g)+ I _{2}(g)$ the degree of dissociation $(\alpha)$ of HI(g) is related to equilibrium constant $K_p$ by the expression:

Identify the Br??sted acid in the following equation: $PO _{4}^{3-}+ H _{2} O (l) \longrightarrow HPO _{4}^{2-}(a q)+ OH ^{-}(a q)$

The number of grams/weight of $NH_4Cl$ required to be added to 3 liters of $0.01\, M\, NH_3$ to prepare the buffer of $pH=9.45$ at temperature $298\, K$ ($K_b$ for $NH_3$ is $1.85 \times 10^{-5}$)

Two identical balls P and Q are projected with same speeds in vertical plane from same point O with making projection angles with horizontal $30^{\circ} $ and $60^{\circ} $ respectively and they fall directly on plane AB at points P' and Q' respectively. Which of the following statement is true about distances as given in options?

In blue green algae, photo synthesis takes place in :

Two particles P and Q are moving on a circle. At a certain instant of time both the particles are diametrically opposite and P has tangential acceleration $8 \, m/s^2$ and centripetal acceleration $5 \, m/s^2$ whereas Q has only centripetal acceleration of $1 \, m/s^2$. At that instant acceleration (in $m/s^2)$ of P with respect to Q is :

For given L-R circuit, growth of current as function of time t is shown in graph. Which of the following option represents value of time constant most closely for the circuit?