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JEE Main Paper 2A- B.Arch

IMPORTANT

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$P O Q$ is a straight line through the origin $O, P$ and $Q$ represent the complex numbers $a + i b$ and $c + i d$ respectively and $O P = O Q,$ then

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Important Questions on Mock Test 4

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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 28 - Mock Test 4>Mathematics>Q 5

A_{1}, A_{2}

are the two

A . M .' s

between two numbers

a

and

b

and

G_{1}, G_{2}

be two

G . M .' s

between same two numbers, then

\frac{A_{1} + A_{2}}{G_{1} \cdot G_{2}} =

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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 28 - Mock Test 4>Mathematics>Q 6

If the roots of

x^{2} + x + a = 0

exceed

a,

then

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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 28 - Mock Test 4>Mathematics>Q 7

In a certain test there are

n

questions. In the test

2^{n - i}

students gave wrong answers to atleast

i

questions, where

i = 1, 2, \dots ., n .

If the total number of wrong answers given is

2047,

then

n

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 28 - Mock Test 4>Mathematics>Q 8

Let

P (n)

denote the statement that

n^{2} + n

is odd. It is seen that

P (n) \Rightarrow P (n + 1), P (n)

is true for all

HARD

JEE Main Paper 2A- B.Arch

IMPORTANT

A Complete Self Study Guide B. Arch (Bachelor of Architecture) Entrance Examination Mathematics>Chapter 28 - Mock Test 4>Mathematics>Q 9

A balloon is observed simultaneously from three points

A, B

and

C

on a straight road directly under it. The angular elevation at

B

is twice and at

C

is thrice that of

A .

If the distance between

A

and

B

200 m

and the distance between

B

and

C

100 m

, then the height of the balloon is given by

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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 28 - Mock Test 4>Mathematics>Q 10

2 \tan^{- 1} (\cos x) = \tan^{- 1} ({cosec}^{2} x),

then

x

is equal to

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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 28 - Mock Test 4>Mathematics>Q 11

The orthocentre of the triangle with vertices

(2, \frac{\sqrt{3} - 1}{2}), (\frac{1}{2}, - \frac{1}{2})

and

(2, - \frac{1}{2})

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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 28 - Mock Test 4>Mathematics>Q 12

A circle of radius

5

units touches both the axes and lies in the first quadrant. If the circle makes one complete roll on

X -

axis along the positive direction of

X -

axis, then its equation in the new position is

POQ is a straight line through the origin O, P and Q represent the complex numbers a+ib and c+id respectively and OP=OQ, then

Important Questions on Mock Test 4

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$P O Q$ is a straight line through the origin $O, P$ and $Q$ represent the complex numbers $a + i b$ and $c + i d$ respectively and $O P = O Q,$ then