JEE Advanced 2018 Paper 1 Offline | JEE Advanced Year Wise Previous Years Questions

JEE Advanced 2018 Paper 1 Offline

MCQ (Single Correct Answer)

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Treatment of benzene with $$CO/HCl$$ in the presence of anhydrous $$AlC{l_3}/CuCl$$ followed by reaction with $$A{c_2}O/NaOAc$$ gives compound $$X$$ as the major product. Compound $$X$$ upon reaction with $$B{r_2}/N{a_2}C{O_3},$$ followed by heating at $$473$$ $$K$$ with moist $$KOH$$ furnishes $$Y$$ as the, major product. Reaction of $$X$$ with $${H_2}/Pd$$-$$C,$$ followed by $${H_3}P{O_4}$$ treatment gives $$Z$$ as the major product.

The compound $$Z$$ is

JEE Advanced 2018 Paper 1 Offline Chemistry - Aldehydes, Ketones and Carboxylic Acids Question 68 English Option 1

JEE Advanced 2018 Paper 1 Offline Chemistry - Aldehydes, Ketones and Carboxylic Acids Question 68 English Option 2

JEE Advanced 2018 Paper 1 Offline

MCQ (More than One Correct Answer)

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For a non-zero complex number z, let arg(z) denote the principal argument with $$-$$ $$\pi $$ < arg(z) $$ \le $$ $$\pi $$. Then, which of the following statement(s) is (are) FALSE?

arg($$-$$1$$-$$i) = $${\pi \over 4}$$, where i = $$\sqrt { - 1} $$

The function f : R $$ \to $$ ($$-$$$$\pi $$, $$\pi $$), defined by f(t) = arg ($$-$$1 + it) for all t $$ \in $$ R, is continuous at all points of R, where i = $$\sqrt { - 1} $$.

For any two non-zero complex numbers z₁ and z₂, arg $$\left( {{{{z_1}} \over {{z_2}}}} \right)$$$$-$$ arg (z₁) + arg(z₂) is an integer multiple of 2$$\pi $$.

For any three given distinct complex numbers z₁, z₂ and z₃, the locus of the point z satisfying the condition arg$$\left( {{{(z - {z_1})({z_2} - {z_3})} \over {(z - {z_3})({z_2} - {z_1})}}} \right) = \pi $$, lies on a straight line.

JEE Advanced 2018 Paper 1 Offline

MCQ (More than One Correct Answer)

-1

In a $$\Delta $$PQR = 30$$^\circ $$ and the sides PQ and QR have lengths 10$$\sqrt 3 $$ and 10, respectively. Then, which of the following statement(s) is(are) TRUE?

$$\angle QPR = 45^\circ $$

The area of the $$\Delta PQR$$ is $$25\sqrt 3 $$ and $$\angle QRP = 120^\circ $$

The radius of the incircle of the $$\Delta PQR$$ is $$10\sqrt 3 $$ $$-$$ 15

The area of the circumcircle of the $$\Delta PQR$$ is 100$$\pi $$

JEE Advanced 2018 Paper 1 Offline

MCQ (More than One Correct Answer)

-1

Let P₁ : 2x + y $$-$$ z = 3 and P₂ : x + 2y + z = 2 be two planes. Then, which of the following statement(s) is(are) TRUE?

The line of intersection of P₁ and P₂ has direction ratios 1, 2, $$-$$1

The line $${{3x - 4} \over 9} = {{1 - 3y} \over 9} = {z \over 3}$$ is perpendicular to the line of intersection of P₁ and P₂

The acute angle between P₁ and P₂ is 60$$^\circ $$

If P₃ is the plane passing through the point (4, 2, $$-$$2) and perpendicular to the line of intersection of P₁ and P₂, then the distance of the point (2, 1, 1) from the plane P₃ is $${2 \over {\sqrt 3 }}$$

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