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JEE Main Paper 2A- B.Arch

IMPORTANT

Earn 100

If $\vec{a}$ and $\vec{b}$ are two non-parallel vectors having equal magnitude, then the vector $(\vec{a} - \vec{b}) \times (\vec{a} \times \vec{b})$ is parallel to

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Important Questions on Exam Gallery

MEDIUM

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 35

The numbers

a, b

and

c

are distinct and non-negative. If the three vectors

(a \hat{i} + a \hat{j} + c \hat{k}), (c \hat{i} + c \hat{j} + b \hat{k})

and

(\hat{i} + \hat{k})

are coplanar, then

c

MEDIUM

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 36

There are

30

boys and

20

girls in a class. The mean and variance of their marks are

65

and

100

in Maths, respectively. If

5

grace marks are added to the score of each student, then the revised mean and variance will be, respectively.

HARD

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 38

If the ratio of the

7^{th}

term from the beginning to the

7^{th}

term from the end in the expansion of

{(2^{\frac{1}{3}} + 3^{- \frac{1}{3}})}^{n}

\frac{1}{6},

then the value of

n

MEDIUM

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 39

If three distinct positive numbers

a, b

and

c

are in

AP

such that

a b c = 4

, then the value of

b

is always

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 40

If there are

30

onto mappings from a set containing

n

elements to the set

{0, 1},

then

n

equals to

MEDIUM

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 1

If the centroid of the triangle with vertices

(3 c + 2, 2, 0)

(2 c, - 1, - 1)

and

(c + 2, 3 c + 1, c + 3)

coincides with the centre of the sphere

x^{2} + y^{2} + z^{2} + 5 a x - 4 b y - 2 c z = 13

, then

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 3

The domain of the function

f (x) = \sqrt{2 x - 3} + \sin x + \sqrt{x - 1}

EASY

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 4

The mean deviation of an ungrouped data is

10

. If each observation is increased by

4 %

, then the revised mean deviation is

If a→ and b→ are two non-parallel vectors having equal magnitude, then the vector a→-b→×a→×b→ is parallel to

Important Questions on Exam Gallery

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If $\vec{a}$ and $\vec{b}$ are two non-parallel vectors having equal magnitude, then the vector $(\vec{a} - \vec{b}) \times (\vec{a} \times \vec{b})$ is parallel to