1

JEE Advanced 2020 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let M be a 3 $$ \times $$ 3 invertible matrix with real entries and let I denote the 3 $$ \times $$ 3 identity matrix. If M

^{$$-$$1}= adj(adj M), then which of the following statements is/are ALWAYS TRUE?2

JEE Advanced 2020 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let S be the set of all complex numbers z

satisfying |z

satisfying |z

^{2}+ z + 1| = 1. Then which of the following statements is/are TRUE?3

JEE Advanced 2020 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let x, y and z be positive real numbers. Suppose x, y and z are the lengths of the sides of a triangle opposite to its angles X, Y, and Z, respectively. If

$$\tan {X \over 2} + \tan {Z \over 2} = {{2y} \over {x + y + z}}$$, then which of the following statements is/are TRUE?

$$\tan {X \over 2} + \tan {Z \over 2} = {{2y} \over {x + y + z}}$$, then which of the following statements is/are TRUE?

4

JEE Advanced 2020 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let L

$${L_1}:{{x - 1} \over 1} = {y \over { - 1}} = {{z - 1} \over 3}$$ and $${L_2}:{{x - 1} \over { - 3}} = {y \over { - 1}} = {{z - 1} \over 1}$$.

Suppose the straight line

$$L:{{x - \alpha } \over l} = {{y - 1} \over m} = {{z - \gamma } \over { - 2}}$$

lies in the plane containing L

_{1}and L_{2}be the following straight lines.$${L_1}:{{x - 1} \over 1} = {y \over { - 1}} = {{z - 1} \over 3}$$ and $${L_2}:{{x - 1} \over { - 3}} = {y \over { - 1}} = {{z - 1} \over 1}$$.

Suppose the straight line

$$L:{{x - \alpha } \over l} = {{y - 1} \over m} = {{z - \gamma } \over { - 2}}$$

lies in the plane containing L

_{1}and L_{2}and passes through the point of intersection of L_{1}and L_{2}. If the line L bisects the acute angle between the lines L_{1}and L_{2}, then which of the following statements is/are TRUE?Paper analysis

Total Questions

Chemistry

18

Mathematics

18

Physics

18

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