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WBJEE Maths Test - 3 - JEE MCQ


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30 Questions MCQ Test WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 - WBJEE Maths Test - 3

WBJEE Maths Test - 3 for JEE 2024 is part of WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 preparation. The WBJEE Maths Test - 3 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 3 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 3 below.
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WBJEE Maths Test - 3 - Question 1

The term independent of x in the expansion of [(√(x/3))+(√3/x2)]10 is

WBJEE Maths Test - 3 - Question 2

The term independent of x in the expansion of ((2x) - (3/x))6 is

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WBJEE Maths Test - 3 - Question 3

The coefficient of x3 in ((√x5) + (3/√x3))6 is

WBJEE Maths Test - 3 - Question 4
The radical axis of the circles, belongs to the coaxial system of circles whose limiting points are (1,3) and (2,6) is
WBJEE Maths Test - 3 - Question 5

If a < 0 < b then

WBJEE Maths Test - 3 - Question 6

The centre and radius of the circle with the segment of the line x+y=1 cut of by the coordinate axes as diameter are

WBJEE Maths Test - 3 - Question 7

If (a+ib)(c+id)(e+if)(g+ih) = A+iB, then (a2+b2)(c2+d2)(c2+f2)(g2+h2) =

WBJEE Maths Test - 3 - Question 8
If we express [(cos 2θ - i sin2θ)4(cos4θ + i sin4θ)-5]/[(cos3θ + i sin 3θ)-2(cos3θ - i sin3θ)]-9 in the form of x + iy,we get
WBJEE Maths Test - 3 - Question 9

The area bounded by two curves y2=4ax and x2=4ay is

WBJEE Maths Test - 3 - Question 10

WBJEE Maths Test - 3 - Question 11

If a, b, c are different and then x =

WBJEE Maths Test - 3 - Question 12

The orthogonal trajectories of the family y2=4ax+4a2 is the family :

WBJEE Maths Test - 3 - Question 13

The solution of the differential equation x{y d2y/dx2 + (dy/dx)2}=y dy/dx is :

WBJEE Maths Test - 3 - Question 14

WBJEE Maths Test - 3 - Question 15

WBJEE Maths Test - 3 - Question 16

If siny=x sin (a+y), (dy/dx)=

WBJEE Maths Test - 3 - Question 17

The differential of sin⁻1[(1-x)/(1+x)] w.r.t. √x is equal to

WBJEE Maths Test - 3 - Question 18

The major axis of an ellipse is three times the minor axis, then the eccentricity is

WBJEE Maths Test - 3 - Question 19

The eccentricity of ellipse 4x2 + 9y2 = 36 is

WBJEE Maths Test - 3 - Question 20

The parametric equations of the hyperbola x2/a2 - y2/b2 = 1 are

WBJEE Maths Test - 3 - Question 21

The eccentricity of the conic 9x2 - 16y2 = 144 is

WBJEE Maths Test - 3 - Question 22

tan⁻1(1/4) + tan⁻1(2/9) is equal to

WBJEE Maths Test - 3 - Question 23

Let f(x) = tan-1 {φ(x)}, where φ(x)is monotonically increasing for 0 < x < π/2. Then f(x) is

Detailed Solution for WBJEE Maths Test - 3 - Question 23

being monotonically increasing

 

WBJEE Maths Test - 3 - Question 24

If A and B are two matrices such that AB = B and BA = A, then A2 + B2 =

WBJEE Maths Test - 3 - Question 25

A function f(x) is defined as f (x) = [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 because

WBJEE Maths Test - 3 - Question 26

A square tank of capacity 250 cubic m has to be dug out. The cost of land is Rs 50 per sq.m. The cost of digging increases with the depth and for the whole tank is 400 (depth)2 rupees. The dimensions of the tank for the least total cost are

WBJEE Maths Test - 3 - Question 27
If z₁,z₂,z₃ are complex numbers such that |1/z₁+1/z₂+1/z₃|=1, then |z₁+z₂+z₃| is equal to
WBJEE Maths Test - 3 - Question 28

The normals to the parabola y2=4ax from the point (5a,2a) are

WBJEE Maths Test - 3 - Question 29

The slope of the normal at the point (at2,2at) of the parabola y2=4ax is

WBJEE Maths Test - 3 - Question 30
In how many different ways can the letters of the word 'AUCTION' be arranged so that the vowels always come together?
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