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Mathematics MCQ 2 - Biotechnology Engineering (BT) MCQ


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21 Questions MCQ Test Mock Test Series of IIT JAM Biotechnology 2025 - Mathematics MCQ 2

Mathematics MCQ 2 for Biotechnology Engineering (BT) 2024 is part of Mock Test Series of IIT JAM Biotechnology 2025 preparation. The Mathematics MCQ 2 questions and answers have been prepared according to the Biotechnology Engineering (BT) exam syllabus.The Mathematics MCQ 2 MCQs are made for Biotechnology Engineering (BT) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Mathematics MCQ 2 below.
Solutions of Mathematics MCQ 2 questions in English are available as part of our Mock Test Series of IIT JAM Biotechnology 2025 for Biotechnology Engineering (BT) & Mathematics MCQ 2 solutions in Hindi for Mock Test Series of IIT JAM Biotechnology 2025 course. Download more important topics, notes, lectures and mock test series for Biotechnology Engineering (BT) Exam by signing up for free. Attempt Mathematics MCQ 2 | 21 questions in 50 minutes | Mock test for Biotechnology Engineering (BT) preparation | Free important questions MCQ to study Mock Test Series of IIT JAM Biotechnology 2025 for Biotechnology Engineering (BT) Exam | Download free PDF with solutions
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 = _____________.


Detailed Solution for Mathematics MCQ 2 - Question 21


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