The compound of Xenon with zero dipole moment is :-
Question: The compound of Xenon with zero dipole moment is :-$\mathrm{XeO}_{3}$$\mathrm{XeO}_{2}$$\mathrm{XeF}_{4}$$\mathrm{XeOF}_{4}$Correct Option: , 3 Solution:...
Read More →An organic compound A upon reacting with
Question: An organic compound $\mathrm{A}$ upon reacting with $\mathrm{NH}_{3}$ gives $\mathrm{B}$. On heating, $\mathrm{B}$ gives $\mathrm{C}$. $\mathrm{C}$ in presence of $\mathrm{KOH}$ reacts with $\mathrm{Br}_{2}$ to give $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{NH}_{2}$. A is :-$\mathrm{CH}_{3} \mathrm{COOH}$$\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{COOH}$$\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{COOH}$Correct Option: , 4 Solution: Solution not required...
Read More →Solve this following
Question: If $[\vec{a} \times \vec{b} \vec{b} \times \vec{c} \vec{c} \times \vec{a}]=\lambda[\vec{a} \vec{b} \vec{c}]^{2}$ then $\lambda$ is equal to : 2301Correct Option: , 4 Solution:...
Read More →Solve the equation
Question: Let $\theta_{1}$ be the angle between two lines $2 x+3 y+c_{1}=0$ and $-x+5 y+c_{2}=0$, and $\theta_{2}$ be the angle between two lines $2 x+3 y+c_{1}=0$ and $-x+5 y+c_{3}=0$, where $c_{1}, c_{2}, c_{3}$ are any real numbers : Statement-1 : If $c_{2}$ and $c_{3}$ are proportional, then $\theta_{1}=\theta_{2}$. Statement-2 : $\theta_{1}=\theta_{2}$ for all $\mathrm{c}_{2}$ and $\mathrm{c}_{3}$.Statement-1 is true and Statement - 2 is true, Statement-2 is not a correct explanation for St...
Read More →Which of the following
Question: Which of the following has the square planar structure :-$\mathrm{NH}_{4}^{+}$$\mathrm{CCl}_{4}$$\mathrm{XeF}_{4}$$\mathrm{BF}_{4}^{-}$Correct Option: , 3 Solution:...
Read More →Based on lattice energy
Question: Based on lattice energy and other considerations, which one of the following alkali metal chloride is expected to have the highest melting point ?$\mathrm{RbCl}$$\mathrm{LiCl}$$\mathrm{KCl}$$\mathrm{NaCl}$Correct Option: , 4 Solution:...
Read More →Solve this following
Question: Let $\vec{a}=2 \hat{i}+\hat{j}-2 \hat{k}, \vec{b}=\hat{i}+\hat{j}$. If $\vec{c}$ is a vector such that $\vec{a} \bullet \vec{c}=|\vec{c}|,|\vec{c}-\vec{a}|=2 \sqrt{2}$ and the angle between $\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{c}}$ is $30^{\circ}$, then $|(\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}) \times \overrightarrow{\mathrm{c}}|$ equals :$\frac{3}{2}$3$\frac{1}{2}$$\frac{3 \sqrt{3}}{2}$Correct Option: 1 ...
Read More →If the extremities of the base of an isoscelestriangle are the points
Question: If the extremities of the base of an isoscelestriangle are the points $(2 \mathrm{a}, 0)$ and $(0, \mathrm{a})$ and the equation of one of the sides is $x=2 a$, then the area of the triangle, in square units, is:$\frac{5}{2} a^{2}$$\frac{5}{4} a^{2}$$\frac{25 \mathrm{a}^{2}}{4}$$5 \mathrm{a}^{2}$Correct Option: 1 Solution:...
Read More →Among the following,
Question: Among the following, the species having the smallest bond is :-$\mathrm{NO}$$\mathrm{NO}^{+}$$\mathrm{O}_{2}$$\mathrm{NO}^{-}$Correct Option: , 2 Solution:...
Read More →Solve the following
Question: Let $\omega$ be a complex number such that $2 \omega+1=z$ where $z=\sqrt{-3}$. If $\left|\begin{array}{ccc}1 1 1 \\ 1 -\omega^{2}-1 \omega^{2} \\ 1 \omega^{2} \omega^{7}\end{array}\right|=3 k$, then $\mathrm{k}$ is equal to :-1$-Z$z$-1$Correct Option: , 2 Solution:...
Read More →If the
Question: If the $\mathrm{x}$-intercept of some line $\mathrm{L}$ is double as that of the line, $3 \mathrm{x}+4 \mathrm{y}=12$ and the $\mathrm{y}$ intercept of $\mathrm{L}$ is half as that of the same line, then the slope of $\mathrm{L}$ is :-33/23/83/16Correct Option: , 4 Solution:...
Read More →Among the following
Question: Among the following species which two have trigonal bipyramidal shape ? (1) $\mathrm{NI}_{3}$ (2) $\mathrm{I}_{3}^{-}$ (3) $\mathrm{SO}_{3}^{2-}$ (4) $\mathrm{NO}_{3}^{-}$II and IIIIII and IVI and IVI and IIICorrect Option: Solution:...
Read More →Solve this following
Question: Let $\overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overrightarrow{\mathrm{b}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{c}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}-2 \hat{\mathrm{k}}$ be three vectors. A vectors of the type $\overrightarrow{\mathrm{b}}+\lambda \overrightarrow{\mathrm{c}}$ for some scalar $\lambda$, whose projection on $\vec{a}$ is of magnitude $\sqrt{\frac{2}{3}}$, is :$2 \hat{\mathrm{i}}+3 \hat{\m...
Read More →If the three lines
Question: If the three lines $x-3 \mathrm{y}=\mathrm{p}, \mathrm{a} x+2 y=\mathrm{q}$ and $\mathrm{a} x+\mathrm{y}=\mathrm{r}$ form a right $-$ angled triangle then:$a^{2}-6 a-12=0$$a^{2}-9 a+12=0$$a^{2}-9 a+18=0$$a^{2}-6 a-18=0$Correct Option: Solution:...
Read More →Dipole moment is shown by :-
Question: Dipole moment is shown by :-trans-2, 3-dichloro- 2-butene1 , 2-dichlorobenzene1 , 4-dichlorobenzenetrans-1, 2-dinitroetheneCorrect Option: , 2 Solution:...
Read More →A value of
Question: A value of $\theta$ for which $\frac{2+3 i \sin \theta}{1-2 i \sin \theta}$ is purely imaginary, is :$\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)$$\frac{\pi}{3}$$\frac{\pi}{6}$$\sin ^{-1}\left(\frac{\sqrt{3}}{4}\right)$Correct Option: 1 Solution:...
Read More →A light ray emerging from the point source placed at
Question: A light ray emerging from the point source placed at $\mathrm{P}(1,3)$ is reflected at a point $\mathrm{Q}$ in the axis of $x$. If the reflected ray passes through the point $\mathrm{R}(6,7)$, then the abscissa of $\mathrm{Q}$ is :3$\frac{7}{2}$1$\frac{5}{2}$Correct Option: , 4 Solution:...
Read More →Solve this following Question
Question: Let $\left.S=\{\lambda, \mu) \varepsilon \mathrm{R} \times \mathrm{R}: f(\mathrm{t})=(|\lambda|) \mathrm{e}^{|\mathrm{t}|}-\mu\right) \cdot \sin (2|\mathrm{t}|), \mathrm{t} \varepsilon \mathrm{R}$, is a differentiable function $\}$. Then $\mathrm{S}$ is to:$[0, \infty) \times R$$R \times(-\infty, 0)$$R \times[0, \infty)$$(-\infty, 0) \times R$Correct Option: 3, Solution: Solution Not Required...
Read More →Compound (A), C8H9Br, gives a white precipitate
Question: Compound (A), $\mathrm{C}_{8} \mathrm{H}_{9} \mathrm{Br}$, gives a white precipitate when warmed with alcoholic $\mathrm{AgNO}_{3}$. Oxidation of (A) gives an acid (B), $\mathrm{C}_{8} \mathrm{H}_{6} \mathrm{O}_{4}$. (B) easily forms anhydride on heating. Identify the compound (A):Correct Option: , 4 Solution: Solution not required...
Read More →The number of
Question: The number of $\mathrm{S}-\mathrm{S}$ bonds in $\mathrm{SO}_{3}, \mathrm{~S}_{2} \mathrm{O}_{3}{ }^{2-}, \mathrm{S}_{2} \mathrm{O}_{6}{ }^{2-}$ and $\mathrm{S}_{2} \mathrm{O}_{8}{ }^{2-}$ respectively are :-$1,0,1,0$$0,1,1,0$$1,0,0,1$$0,1,0,1$Correct Option: , 2 Solution:...
Read More →A ray of light along
Question: A ray of light along $x+\sqrt{3} y=\sqrt{3}$ gets reflected upon reaching $x$-axis, the equation of the reflected ray is:$y=x+\sqrt{3}$$\sqrt{3} y=x-\sqrt{3}$$y=\sqrt{3} x-\sqrt{3}$$\sqrt{3} y=x-1$Correct Option: Solution:...
Read More →A complex number z is said to be unimodular
Question: A complex number $z$ is said to be unimodular if $|z|=1$. Suppose $z_{1}$ and $z_{2}$ are complex numbers such that $\frac{z_{1}-2 z_{2}}{2-z_{1} \bar{z}_{2}}$ is unimodular and $z_{2}$ is not unimodular. Then the point $z_{1}$ lies on a :circle of radius 2circle of radius $\sqrt{2}$straight line parallel to x-axisstraight line parallel to y-axisCorrect Option: 1 Solution:...
Read More →In the chemical reactions
Question: In the chemical reactions Fluorobenzene and phenolBenzene diazonium chloride and benzonitrileNitrobenzene and chlorobenzenePhenol and bromobenzeneCorrect Option: , 2 Solution: Solution not required...
Read More →In which of the following pairs
Question: In which of the following pairs the two species are not isostructural ?$\mathrm{AlF}_{6}^{3-}$ and $\mathrm{SF}_{6}$$\mathrm{CO}_{3}^{2-}$ and $\mathrm{NO}_{3}^{-}$$\mathrm{PCl}_{4}^{+}$and $\mathrm{SiCl}_{4}$$\mathrm{PF}_{5}$ and $\mathrm{BrF}_{5}$Correct Option: , 4 Solution:...
Read More →If the line
Question: If the line $2 \mathrm{x}+\mathrm{y}=\mathrm{k}$ passes through the point which divides the line segment joining the points $(1,1)$ and $(2,4)$ in the ratio $3: 2$, then $\mathrm{k}$ equals :$\frac{11}{5}$$\frac{29}{5}$56Correct Option: , 4 Solution: $\Rightarrow \quad k=6$...
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