eSaral - JEE | NEET | Class 8-10 Exam Prep App

Williamson synthesis of ether is an example of

Question: Williamson synthesis of ether is an example ofNucleophilic additionElectrophilic substitutionNucleophilic substitutionElectrophilic additionCorrect Option: , 3 Solution:...

Let f(x)=x|x| and g(x)=sin x.

Question: Let $f(x)=x|x|$ and $g(x)=\sin x$. Statement-1 : gof is differentiable at $x=0$ and its derivative is continuous at that point. Statement-2 : gof is twice differentiable at $x=0$.Statement-1 is true, Statement $-2$ is false.Statement-1 is false, Statement-2 is true.Statement-1 is true, Statement-2 is true; Statement- 2 is a correct explanation for Statement$1 .$Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for statement$1 .$Correct Option: 1 Soluti...

The structure of the carbonyl

Question: The structure of the carbonyl compound $\mathbf{P}$ isCorrect Option: , 2 Solution: Solution not required...

The possible values of

Question: The possible values of $\theta \in(0, \pi)$ such that $\sin (\theta)+\sin (4 \theta)+\sin (7 \theta)=0$ are: $\frac{2 \pi}{9}, \frac{\pi}{4}, \frac{4 \pi}{9}, \frac{\pi}{2}, \frac{3 \pi}{4}, \frac{8 \pi}{9}$$\frac{\pi}{4}, \frac{5 \pi}{12}, \frac{\pi}{2}, \frac{2 \pi}{3}, \frac{3 \pi}{4}, \frac{8 \pi}{9}$$\frac{2 \pi}{9}, \frac{\pi}{4}, \frac{\pi}{2}, \frac{2 \pi}{3}, \frac{3 \pi}{4}, \frac{35 \pi}{36}$$\frac{2 \pi}{9}, \frac{\pi}{4}, \frac{\pi}{2}, \frac{2 \pi}{3}, \frac{3 \pi}{4}, \f...

If one of the diameters of the circle

Question: If one of the diameters of the circle, given by the euqation, $x^{2}+y^{2}-4 x+6 y-12=0$, is a chord of a circle $\mathrm{S}$, whose centre is at $(-3,2)$, then the radius of $\mathrm{S}$ is :-10$5 \sqrt{2}$$5 \sqrt{3}$5Correct Option: , 3 Solution:...

Iodoform can

Question: Iodoform can be prepared from all except :-Isobutyl alcoholEthyl methyl ketoneIsopropyl alcohol3-Methyl-2-butanoneCorrect Option: 1 Solution: Solution not required...

Let A and B denote the statements

Question: Let A and B denote the statements A : $\cos \alpha+\cos \beta+\cos \gamma=0$ $\mathbf{B}: \sin \alpha+\sin \beta+\sin \gamma=0$ If $\cos (\beta-\gamma)+\cos (\gamma-\alpha)+\cos (\alpha-\beta)=-\frac{3}{2}$, then :-Both A and B are trueBoth A and B are falseA is true and B is falseA is false and B is trueCorrect Option: 1 Solution:...

In the Victor-Meyer's test,

Question: In the Victor-Meyer's test, the colour given by 1, 2 and 3 alcohols are respectively :-Red, blue, colourlessColourless, red, blueRed, blue, violetRed, colourless, blueCorrect Option: 1, Solution:...

The number of common tangents to the circle

Question: The number of common tangents to the circle $x^{2}+y^{2}-4 x-6 y-12=0$ and $x^{2}+y^{2}+6 x$ $+18 y+26=0$, is :3412Correct Option: 1 Solution:...

In the given transformation,

Question: In the given transformation, which of the following is the most appropriate reagent? (1) $\mathrm{NaBH}_{4}$$\mathrm{Zn}-\mathrm{Hg} / \mathrm{HCl}$$\mathrm{Na}, \mathrm{Liq.NH}_{3}$Correct Option: , 2 Solution: Solution not required...

Solve this following

Question: Let $f(x)=x^{2}+\frac{1}{x^{2}}$ and $g(x)=x-\frac{1}{x}, x \in R-\{-1,0,1\} .$ If $h(x)=\frac{f(x)}{g(x)}$, then the local minimum value of $h(x)$ is : $-3$$-2 \sqrt{2}$$2 \sqrt{2}$3Correct Option: , 3 Solution:...

Let C be the circle with centre

Question: Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to :$\frac{\sqrt{3}}{\sqrt{2}}$$\frac{\sqrt{3}}{2}$$\frac{1}{2}$$\frac{1}{4}$Correct Option: , 4 Solution:...

Silver Mirror test is

Question: Silver Mirror test is given by which one of the following compounds?FormaldehydeBenzophenoneAcetaldehydeAcetoneCorrect Option: 1, 3 Solution: Solution not required...

Trichloroacetaldehyde was subjected to

Question: Trichloroacetaldehyde was subjected to Cannizzaro's reaction by using $\mathrm{NaOH}$. The mixture of the products contains sodium trichloroacetate and another compound. The other compound is$2,2,2$-TrichloropropanolChloroform$2,2,2$-TrichloroethanolTrichloromethanolCorrect Option: , 3 Solution: Solution not required...

Statement I : The only circle having radius

Question: Statement I : The only circle having radius $\sqrt{10}$ and a diameter along line $2 x+y=5$ is $x^{2}+y^{2}-6 x+2 y=0$. Statement II : $2 \mathrm{x}+\mathrm{y}=5$ is a normal to the circle $\mathrm{x}^{2}+\mathrm{y}^{2}-6 \mathrm{x}+2 \mathrm{y}=0$.Statement I is false, Statement II is trueStatement I is true ; Statement II is false.Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I.Statement I is true : Statement II is true ; Statement...

Ozonolysis of an organic compound

Question: Ozonolysis of an organic compound 'A' produces acetone and propionaldehyde in equimolar mixture. Identify 'A' from the following compounds : -2-Methyl - 1- pentene1-Pentene2-Pentene2-Methyl-2-penteneCorrect Option: , 4 Solution: Solution not required...

Ozonolysis of an organic

Question: Ozonolysis of an organic compound gives formaldehyde as one of the products. This confirms the presence of :-An isopropyl groupAn acetylenic triple bondTwo ethylenic double bondsA vinyl groupCorrect Option: , 4 Solution: Solution Not required...

If the circle

Question: If the circle $x^{2}+y^{2}-6 x-8 y+\left(25-a^{2}\right)=0$ touches the axis of $x$, then a equals :-$\pm 4$$\pm 3$0$\pm 2$Correct Option: , 3, 4 Solution:...

One mole of a symmetrical alkene

Question: One mole of a symmetrical alkene on ozonolysis gives two moles of an aldehyde having a molecular mass of $44 \mathrm{u}$. The alkene is :-EthenePropene1-Butene2 -ButeneCorrect Option: , 4 Solution: Solution Not required...

If a circle C passing through

Question: If a circle $C$ passing through $(4,0)$ touches the circle $x^{2}+y^{2}+4 x-6 y-12=0$ externally at a point $(1,-1)$, then the radius of the circle $C$ is :-$\sqrt{57}$$2 \sqrt{5}$45Correct Option: , 4 Solution:...

In Cannizzaro reaction given below :-

Question: In Cannizzaro reaction given below :- the slowest step is :-The abstraction of proton from the carboxylic groupThe deprotonation of $\mathrm{PhCH}_{2} \mathrm{OH}$The attack of : $\stackrel{\ominus}{\mathrm{OH}}$ at the carboxyl groupThe transfer of hydride to the carbonyl groupCorrect Option: , 4 Solution: Solution not required...

Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector.

Question: Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. $\mathrm{m}$ ) of the flower -bed, is :30$12.5$1025Correct Option: , 4 Solution:...

The circle passing through

Question: The circle passing through (1, 2) and touching the axis of x at (3, 0) also passes through the point :(5, 2)(2, 5)(5, 2)(2, 5)Correct Option: , 3 Solution:...

Which of the following

Question: Which of the following on heating with aqueous $\mathrm{KOH}$, produces acetaldehyde ?$\mathrm{CH}_{2} \mathrm{ClCH}_{2} \mathrm{Cl}$$\mathrm{CH}_{3} \mathrm{CHCl}_{2}$$\mathrm{CH}_{3} \mathrm{COCl}$$\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{Cl}$Correct Option: , 2 Solution: Solution Not required...

A wire of length 2 units is cut into two parts which are bent respectively

Question: A wire of length 2 units is cut into two parts which are bent respectively to form a square of side $=x$ units and a circle of radius $=r$ units. If the sum of the areas of the square and the circle so formed is minimum, then :$2 x=r$$2 \mathrm{x}=(\pi+4) \mathrm{r}$$(4-\pi) \mathrm{x}=\pi \mathrm{r}$$x=2 r$Correct Option: , 4 Solution:...

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