JEE Main 2019 (Online) 10th April Morning Slot

The major product of the following reaction is :

Major products of the following reaction are :

The increasing order of the reactivity of the following compounds towards electrophilic aromatic substitution reactions is :

The principle of column chromatography is :

Amylopectin is compound of :

During the change of O2 to O2-
, the incoming electron goes to the orbital :

The oxoacid of sulphur that does not contain bond between sulphur atoms is

A bacterial infection in an internal wound grows as N'(t) = N0 exp(t), where the time t is in hours. A does of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as $${{dN} \...

Ethylamine (C2H5NH2) can be obtained from N-ethylphatalimide on treatment with :

The major product of the following reaction is :

Three complexes,
[CoCl(NH3)5]
2+(I),
[Co(NH3)5H2O]3+ (II) and
[Co(NH3)6]
3+(III)
absorb light in the visible region. The correct order of the wavelength of light absorbed by them is :

The species that can have a trans-isomer is :
(en = ehane-1, 2-diamine, ox = oxalate)

Consider the hydrated ions of Ti2+, V2+, Ti3+, and Sc3+. The correct order of their spin-only magnetic
moments is :

Consider the statements S1 and S2
S1 : Conductivity always increases with decrease in the concentration of electrolyte.
S2 : Molar conductivity always increases with decrease in the concentration of electrolyte.
The correct option among the...

The regions of the atmosphere, where clouds form and where we live, respectively, are :

Consider the following table :

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The major product of the following reaction is :

Increasing rate of SN1 reaction in the following compounds is :

The synonym for water gas when used in the production of methanol is :

Consider the following statements
(a) The pH of a mixture containing 400 mL of 0.1 M H2SO4 and 400 mL of 0.1 M NaOH will be approximately 1.3
(b) Ionic product of water is temperature dependent.
(c) A monobasic acid with Ka = 10–5
has pH =...

Match the refining methods (Column I) with metals (Column II).

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The correct order of catenation is :

Which of the following is a condensation polymer?

The alloy used in the construction of aircrafts is :

At room temperature, a dilute solution of urea is prepared by dissolving 0.60 of urea in 360 g of water. If the
vapour pressure of pure water at this temperature is 35 mm Hg, lowering of vapour pressure will be.
(molar mass of urea = 60 g m...

At 300 K and 1 atmospheric pressure, 10 mL of a hydrocarbon required 55 mL of O2 for complete
combustion, and 40 mL of CO2 is formed. The formula of the hydrocarbon is :

The isoelectronic set of ions is :

The graph between \({\left| \psi \right|^2}\) and r (radial distance) is shown below. This represents :

A gas undergoes physical adsorption on a surface and follows the given Freundlich adsorption isotherm equation
\({x \over m} = k{p^{0.5}}\)
Adsorption of the gas increase with :

A process will be spontaneous at all temperatures if :

If the length of the perpendicular from the point (\(\beta\), 0, \(\beta\)) (\(\beta\) \(\ne\) 0) to the line,
\({x \over 1} = {{y - 1} \over 0} = {{z + 1} \over { - 1}}\) is \(\sqrt {{3 \over 2}}\), then
\(\beta\) is equal to :

If Q(0, –1, –3) is the image of the point P in the plane 3x – y + 4z = 2 and R is the point (3, –1, –2), then the
area (in sq. units) of \(\Delta\)PQR is :

If the coefficients of x2
and x3
are both zero, in the expansion of the expression (1 + ax + bx2
) (1 – 3x)15 in
powers of x, then the ordered pair (a,b) is equal to :

If the circles x2
+ y2
+ 5Kx + 2y + K = 0 and 2(x2
+ y2) + 2Kx + 3y –1 = 0, (K\(\in\)R), intersect at the points
P and Q, then the line 4x + 5y – K = 0 passes through P and Q, for :

The line x = y touches a circle at the point (1,1). If the circle also passes through the point (1, – 3), then its
radius is :

If a > 0 and z = \({{{{\left( {1 + i} \right)}^2}} \over {a - i}}\), has magnitude \(\sqrt {{2 \over 5}}\), then \(\overline z\) is equal to :

The value of \(\int\limits_0^{2\pi } {\left[ {\sin 2x\left( {1 + \cos 3x} \right)} \right]} dx\),
where [t] denotes the greatest integer function is :

\(\mathop {\lim }\limits_{n \to \infty } \left( {{{{{(n + 1)}^{1/3}}} \over {{n^{4/3}}}} + {{{{(n + 2)}^{1/3}}} \over {{n^{4/3}}}} + ....... + {{{{(2n)}^{1/3}}} \over {{n^{4/3}}}}} \right)\)
is equal to :

If y = y(x) is the solution of the differential equation
\({{dy} \over {dx}} = \left( {\tan x - y} \right){\sec ^2}x\), \(x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)\),
such that y (0) = 0, then $$y\left( { - {\pi \over 4}} \r...

If the line x – 2y = 12 is tangent to the ellipse \({{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1\) at the point \(\left( {3, - {9 \over 2}} \right)\) , then the length of the latus
rectum of the ellipse is :

Let f(x) = x2
, x \(\in\) R. For any A \(\subseteq\) R, define g (A) = { x \(\in\) R : f(x) \(\in\) A}. If S = [0,4], then which one of the
following statements is not true ?

Let f(x) = ex – x and g(x) = x2 – x, \(\forall\) x \(\in\) R. Then the set of all x \(\in\) R, where the function h(x) = (fog) (x) is increasing, is :

ABC is a triangular park with AB = AC = 100 metres. A vertical tower is situated at the mid-point of BC. If
the angles of elevation of the top of the tower at A and B are cot–1
(3\(\sqrt 2\) ) and cosec–1
(2\(\sqrt 2\) ) respectively,
th...

If a directrix of a hyperbola centred at the origin and passing through the point (4, –2\(\sqrt 3\) ) is 5x = 4\(\sqrt 5\) and
its eccentricity is e, then :

If \(\int {{{dx} \over {{{\left( {{x^2} - 2x + 10} \right)}^2}}}} = A\left( {{{\tan }^{ - 1}}\left( {{{x - 1} \over 3}} \right) + {{f\left( x \right)} \over {{x^2} - 2x + 10}}} \right) + C\)
where C is a constant of integration then :

If \(\mathop {\lim }\limits_{x \to 1} {{{x^4} - 1} \over {x - 1}} = \mathop {\lim }\limits_{x \to k} {{{x^3} - {k^3}} \over {{x^2} - {k^2}}}\), then k is :

Let f : R \(\to\) R be differentiable at c \(\in\) R and f(c) = 0. If g(x) = |f(x)| , then at x = c, g is :

If$$f(x) = \left\{ {\matrix{
{{{\sin (p + 1)x + \sin x} \over x}} & {,x < 0} \cr
q & {,x = 0} \cr
{{{\sqrt {x + {x^2}} - \sqrt x } \over {{x^{{\raise0.5ex\hbox{$\scriptstyle 3$}
\kern-0.1em/\kern-0.15em
\lower0.25ex\hbox{$\scr...

Which one of the following Boolean expressions is a tautology?

If \({\Delta _1} = \left| {\matrix{ x & {\sin \theta } & {\cos \theta } \cr { - \sin \theta } & { - x} & 1 \cr {\cos \theta } & 1 & x \cr } } \right|\) and
$${\Delta _2} = \left| {\matrix{
x & {\sin 2\theta } & {\cos 2\...