Download JEE-Main 2019 Paper II EHG 7th April 2019 S2 Question Paper

Question Paper Name: Paper II EHG 7th April 2019 S2
Subject Name: Paper II EHG

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Creation Date: 2019-04-07 20:23:26
Duration: 180
Total Marks: 390
Display Marks: Yes

Paper II

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Group Number: 1
Group Id: 416529183
Group Maximum Duration: 0
Group Minimum Duration: 180
Revisit allowed for view?: No

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Revisit allowed for edit?: No
Break time: 0
Group Marks: 390

Mathematics

Section Id: 416529343

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Section Number: 1
Section type: Online
Mandatory or Optional: Mandatory
Number of Questions: 120
Number of Questions to be attempted: 120

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Section Marks: 390
Display Number Panel: Yes
Group All Questions: No

Sub-Section Number: 1
Sub-Section Id: 416529507

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Question Shuffling Allowed: Yes

Question Number: 1 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

The number of elements in the set,

A n B n C

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where A = {(x, y) ? R × R: |x| + |y| = 1}

B = {(x, y) ? R × R: x² + y² = 1}

and C = {(x, y) ? R × R: max{|x|, |y|}=1},

is:

Options:

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1. 1
2. 2
3. 4
4. infinitely many

Question Number: 1 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical

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Correct Marks: 4 Wrong Marks: 1

? A n B n C, ?

A = {(x, y) ? R × R: |x| + |y| = 1}

B = {(x, y) ? R × R: x² + y² = 1}

? C = {(x, y) ? R × R: max{|x|, |y|}=1},

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? ? ? ? ? :

Options:

1. 1
2. 2
3. 4

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4. ?

Question Number: 1 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

?

A = {(x, y) ? R × R: |x| + |y| = 1}

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B = {(x, y) ? R × R: x²+ y² = 1} ?

C = {(x, y) ? R × R: max{|x|, |y|}=1}

? ? A n B n C ? ? ?

Options:

1. 1

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2. 2
3. 4
4. ?

Question Number: 2 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

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Let u = (-1 + iv3) / 2 and z = u - u² - 2. Then the value of z4 + 3z³ + 2z² - 11z - 6 is:

Options:

1. 1
2. -1
3. 2

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4. -2

Question Number: 2 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

? u = (-1 + iv3) / 2 ? z = u - u² - 2 ? ? z4 + 3z³ + 2z² - 11z - 6 ? ? ?:

Options:

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1. 1
2. -1
3. 2
4. -2

Question Number: 2 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical

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Correct Marks: 4 Wrong Marks: 1

? ? u = (-1 + iv3) / 2 ? z = u - u² - 2 ?.

? z4 + 3z³ + 2z² - 11z - 6 ? ? ?.

Options:

1. 1

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2. -1

Question Number: 3 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

Let (a, b) be the solution of the system

[x y] [1 3] = [2 1].

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If a and ß are the roots of the equation ax² + 2bx - (a + b) = 0,

then the equation, whose roots are aß and 1/a + 1/ß is:

Options:

1. 12x² + 47x + 40 = 0
2. 12x² + 17x - 40 = 0

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3. 12x² - 53x + 56 = 0
4. 9x² + 54x + 80 = 0

Question Number: 3 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

? ?

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[x y] [1 3] = [2 1]

? ? (a, b) ? ? ? ax² + 2bx - (a + b) = 0 ? ? a ? ß ?, ?

? ?, ? ? aß ? 1/a + 1/ß ?,

?:

Options:

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1. 12x² + 47x + 40 = 0
2. 12x² + 17x - 40 = 0

Question Number: 3 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

? ? (a, b) ? ? [x y] [1 3] = [2 1] ? ? ? ? a ? B ? ?

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ax² + 2bx - (a + b) = 0 ? ? ?, ? ?

? aß ? 1/a + 1/ß ? ? ? ?.

Options:

1. 12x² + 47x + 40 = 0
2. 12x² + 17x - 40 = 0

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3. 12x² - 53x + 56 = 0
4. 9x² + 54x + 80 = 0

Question Number: 4 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

If A²° = [a b; c d], where A = [1 1; 0 2],

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then a + b + c + d is equal to:

Options:

1. 2¹?
2. 2²°
3. 2²¹

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4. 2²²

Question Number: 4 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

? A²° = [a b; c d], ? A = [1 1; 0 2] ?, ?

a + b + c + d ? ? :

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Options:

1. 2¹?
2. 2²°
3. 2²¹
4. 2²²

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Question Number: 4 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

? A²° = [a b; c d] ? A = [1 1; 0 2] , ?

a + b + c + d =

Options:

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1. 2¹?
2. 2²°
3. 2²¹
4. 2²²

Question Number: 5 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical

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Correct Marks: 4 Wrong Marks: 1

The number of solutions of the equations

3x - y - z = 0

-3x + 2y + z = 0

-3x + z = 0

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such that x, y, z are non-negative integers

and x² + y² + z² = 81 is:

Options:

1. 3
2. 7

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3. 1
4. 2

Question Number: 5 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

?

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3x - y - z = 0

-3x + 2y + z = 0

-3x + z = 0

? ? ? ? ?, ? x, y, z ? ?

? ? x² + y² + z² = 81 ?, ?:

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Options:

1. 3
2. 7
3. 1
4. 2

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Question Number: 5 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

?

3x - y - z = 0

-3x + 2y + z = 0

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-3x + z = 0

?, x, y, z ? ? ? ? x² + y² + z² = 81

? ? ? ? ?.

Options:

1. 3

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2. 7

Question Number: 6 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

The number of subsets of {1, 2, ..., 99}

containing at least 50 elements is:

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Options:

1. 2? - 25°
2. 2? - 24?
3. 2?7
4. 2?8

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Question Number: 6 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

{1, 2,......, 99} ? ? ?, ? ? ?

? 50 ? ?, ? ? ? :

Options:

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1. 2? - 25°
2. 2? - 24?
3. 2?7
4. 2?8

Question Number: 6 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical

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Correct Marks: 4 Wrong Marks: 1

? {1, 2, ......, 99} ?, ? ? 50 ?

? ? ? ?.

Options:

1. 2? - 25°

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Question Number: 7 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

The coefficient of x5 in the expansion of

(1 - x)¹° (x³/2x²)?6 is:

Options:

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1. 405
2. 405/256
3. 1405/256
4. 405/256

Question Number: 7 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical

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Correct Marks: 4 Wrong Marks: 1

(1 - x)¹° (x³/2x²)?6 ? ? ? x5 ? ? ? :

Options:

1. 405
2. 405/256

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3. 1405/256
4. 405/256

Question Number: 7 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

(1 - x)¹° (x³/2x²)?6 ? ? x5 ? ? ?.

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Options:

1. 405
2. 405/256
3. 1405/256
4. 405/256

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Question Number: 8 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

An A.P. having an odd number of terms,

has its first, second and middle terms as

-12, -7 and 38 respectively, then the sum

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of this A.P. is:

Options:

1. 896
2. 798
3. 756

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4. 710

Question Number: 8 Question Type: MCQ Option Shuffling: Yes Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 4 Wrong Marks: 1

? ? ?, ? ? ? ? ? ?, ?

?, ? ? ? ? ? - 12, - 7 ?

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38 ?, ? ? ? ? ? ? ? :

Options:

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