A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 25

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JEE Main Paper 2A- B.Arch

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Earn 100

The sum of the numbers between $200$ and $400$ that are divisible by $7$ , is

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Important Questions on Exam Gallery

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JEE Main Paper 2A- B.Arch

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A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 26

If

\vec{b} = \hat{i} - \hat{j} + 3 \hat{k}, \vec{c} = \hat{j} + 2 \hat{k}

and

\vec{a}

is a unit vector, then the maximum value of the scalar triple product

[\vec{a} \vec{b} \vec{c}]

is

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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 27

The mid-point of the chord intercepted by the circle

x^{2} + y^{2} = 16

on the line through the points

(1, - 2)

and

(0, - 1)

is

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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 29

The domain of the function

f (x) = \frac{1}{3 - \log_{3} (x - 3)}

is

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JEE Main Paper 2A- B.Arch

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A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 24 - Exam Gallery>EXAM GALLERY>Q 30

$A B C$ is an equilateral triangle such that the vertices $B$ and $C$ lie on two parallel lines at a distance $6$ . If $A$ lies between the parallel lines at a distance $4$ from one of them, then the length of a side of the equilateral triangle is

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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

Let

f : (1, \infty) \to [1, \infty)

be defined by

f (x) = \frac{x + 2}{x - 1} .

Then,

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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 2

Let

A = \{(x, y) : x \geq 0, y \geq 0, x^{2} + y^{2} = 1\}

and let

B = \{(x, y) : x \geq 0, y \geq 0, x^{6} + y^{6} \leq 1\}

, then,

A \cap B

is equal to

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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

Let

z

be a complex number such that

|z| = 2

. Then, the maximum possible value of

|z + \frac{2}{z}|

is

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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 number of solutions of the equation

x^{2} - 4 |x| - 2 = 0

is