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Mathematics MCQ 2 - IIT JAM MCQ


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21 Questions MCQ Test - Mathematics MCQ 2

Mathematics MCQ 2 for IIT JAM 2024 is part of IIT JAM preparation. The Mathematics MCQ 2 questions and answers have been prepared according to the IIT JAM exam syllabus.The Mathematics MCQ 2 MCQs are made for IIT JAM 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mathematics MCQ 2 below.
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Mathematics MCQ 2 - Question 1

An urn contains 1 Red, 2 Yellow and 3 Black balls. If a ball is drawn at random than the probability that the ball drawn is Yellow or Black is

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Mathematics MCQ 2 - Question 2

The distance from origin to the centre of a circle x2 + y2 - 4x - 6y + 4 = 0 is

Detailed Solution for Mathematics MCQ 2 - Question 2

x2 + y2 - 4x - 6y + 4 = 0
=>(x-2)2+ ( y - 3 )2 = 4 - 4 + 9
=> (x- 2)2 + (y- 3)2 = 32 
Centre (2, 3) and origin (0,0)
Distance between origin and centre

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Mathematics MCQ 2 - Question 3

The value of  log4(512) is

Detailed Solution for Mathematics MCQ 2 - Question 3

log4(512) = log4(29) = log4(49/2) =9/2
=4.5

Mathematics MCQ 2 - Question 4

The value of f' (1) where f(x) = 1 

Detailed Solution for Mathematics MCQ 2 - Question 4

f(x) = e2x
f'(x) = 2.e2x
f'(1) = 2.e2

Mathematics MCQ 2 - Question 5

The area of rectangle having length x and width 2x is

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Area = 2x. x = 2x2

Mathematics MCQ 2 - Question 6

The solution of the differential equation dy/dx = y/x with y(1) = 1 is

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Mathematics MCQ 2 - Question 7

If 0 and 1 are roots of equation ax2 + bx + c = 0 where a ≠ 0 then a2 -b2 +c2 is equal to

Detailed Solution for Mathematics MCQ 2 - Question 7

ax2 + bx + c = 0
x = 0 is a solution =>0 + 0 + c = 0 
=> c = 0
x = 1 is a solution =>a + b + c = 0 
=> a + b = 0
= > b = - a
= > b2 = a2
so, a2 - b2 + c2 =02  + 02 = 0

Mathematics MCQ 2 - Question 8

If are unit vectors inclined with angle 60° then is equal to

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Mathematics MCQ 2 - Question 9

If 2x - 3y + 4z = 6 is a plane in space then direction cosines of the normal vector are

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2x-3y+4z=6

Mathematics MCQ 2 - Question 10

The number of 4 letters word which can be formed using letters of the word ‘'TEST” is

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Tatal numbers of the words 

*Multiple options can be correct
Mathematics MCQ 2 - Question 11

Consider following statements

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Both I and II are correct

*Multiple options can be correct
Mathematics MCQ 2 - Question 12

Which of the following is true?

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*Multiple options can be correct
Mathematics MCQ 2 - Question 13

Which  of the following is FALSE

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*Multiple options can be correct
Mathematics MCQ 2 - Question 14

If α, β and γ are complex solution of equation a3 =1 then

Detailed Solution for Mathematics MCQ 2 - Question 14

x3 = 1= >x3 - l = 0
=>(x-1)(x2 + x + 1) =0



 

*Multiple options can be correct
Mathematics MCQ 2 - Question 15

If A is non-singular matrix of order 4 and determinant o f adj(A-1) is 8 then

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*Answer can only contain numeric values
Mathematics MCQ 2 - Question 16

The total number of relation on set A =  is ____________________.


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*Answer can only contain numeric values
Mathematics MCQ 2 - Question 17

If A has 2 elements, B has 3 elements and A ∩ B has 1 elements then A ∩ B'  has ______________.


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*Answer can only contain numeric values
Mathematics MCQ 2 - Question 18

then f (100) + f (-100) + is equal to ____________.


Detailed Solution for Mathematics MCQ 2 - Question 18

*Answer can only contain numeric values
Mathematics MCQ 2 - Question 19

If A + B + C = π and tan ( A ) + tan ( B ) + tan(C ) = 3 then tan ( A ) . tan ( B ) . tan(C) is equal to__________.


Detailed Solution for Mathematics MCQ 2 - Question 19

*Answer can only contain numeric values
Mathematics MCQ 2 - Question 20

The value of tan-1(1) + tan-1(2)+tan-1(3) is_____________.


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*Answer can only contain numeric values
Mathematics MCQ 2 - Question 21

is both continuous and differentiable function then a + b = _____________.


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