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WBJEE Maths Test - 12 - JEE MCQ


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30 Questions MCQ Test - WBJEE Maths Test - 12

WBJEE Maths Test - 12 for JEE 2024 is part of JEE preparation. The WBJEE Maths Test - 12 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 12 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 12 below.
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WBJEE Maths Test - 12 - Question 1

If in the expansion of (1+x)20 the coefficient of rth and (r+4)th terms are equal, r=

WBJEE Maths Test - 12 - Question 2

The maximum coefficients in the expansion of (1+x)(2n+2) is :

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WBJEE Maths Test - 12 - Question 3

The positive integer just greater than (1 + .0001)10000 is

WBJEE Maths Test - 12 - Question 4

The angle between the tangents drawn from (0,0) to the circle x2 + y2 + 4x - 6y + 4 = 0 is

WBJEE Maths Test - 12 - Question 5
The locus of the point of intersection of two perpendicular tangents to a circle is called
WBJEE Maths Test - 12 - Question 6
Complex numbers z₁,z₂ and z₃ in A.P.
WBJEE Maths Test - 12 - Question 7
If w = z/[z-(1/3i)] and |w| = 1,then z lies on
WBJEE Maths Test - 12 - Question 8

WBJEE Maths Test - 12 - Question 9

WBJEE Maths Test - 12 - Question 10

WBJEE Maths Test - 12 - Question 11

WBJEE Maths Test - 12 - Question 12
x + ay = 0, y + az = 0, z + ax = 0. The value of a for which the system of equations has infinitely many solutions is
WBJEE Maths Test - 12 - Question 13
The solution of differential equation (dy/dx)=[((1+x)y)/((y-1)x)] is
WBJEE Maths Test - 12 - Question 14

If a, b, c are different and

WBJEE Maths Test - 12 - Question 15

The solution of the equation cosylog(secx+tanx)dx=cosxlog(secy+tany)dy is

WBJEE Maths Test - 12 - Question 16
If y=(1+x1/4)(1+x1/2)(1-x1/4), (dy/dx)=
WBJEE Maths Test - 12 - Question 17

Let y=x2e-x, then period in which y is increasing is

WBJEE Maths Test - 12 - Question 18

The centre of the ellipse

WBJEE Maths Test - 12 - Question 19

The equation of the ellipse whose focus is at (4, 0) and whose eccentricity is 4/5 is

WBJEE Maths Test - 12 - Question 20

The line p = x cos α + y sin α. becomes tangent to x2/a2 - y2/b2 = 1 is

WBJEE Maths Test - 12 - Question 21
The eccentricity of hyperbola is
WBJEE Maths Test - 12 - Question 22

If cot⁻1[(cos α)12] - tan⁻1[(cot α)12] = x, then sin x =

WBJEE Maths Test - 12 - Question 23

WBJEE Maths Test - 12 - Question 24
For a square matrix A, it is given that AA' = I, then A is a
WBJEE Maths Test - 12 - Question 25
The maximum value of x-x is
WBJEE Maths Test - 12 - Question 26

If the equation x - sin x = k has a unique root in , , then the range of values of k are

Detailed Solution for WBJEE Maths Test - 12 - Question 26

Consider the function

WBJEE Maths Test - 12 - Question 27
Let z₁,z₂,z₃ be three vertices of an equilateral triangle circumscribing the circle |z| =1/2. If z₁=1/2+√3/2i and z₁,z₂,z₃ werein anticlockwise sense, then z₂ is
WBJEE Maths Test - 12 - Question 28

The equation of the parabola whose focus is the point (0,0) and the tangent at the vertex is x-y+1=0 is

WBJEE Maths Test - 12 - Question 29

The line y=mx+c touches the parabola x2=4ay if

WBJEE Maths Test - 12 - Question 30

Out of 15 students studying in a class, 7 are from Maharashtra, 5 are from karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karantaka?

Detailed Solution for WBJEE Maths Test - 12 - Question 30

No. of ways of selecting 4 students out of 15 students
= 15C4 = 15 x 14 x 13 x 12 /1 x 2 x 3 x 4 = 1365
The no of ways of selecting 4 students in which no student belongs to Karnataka = 10C4
∴ No of ways of selecting at least one student from Karnataka = 15C4 - 10C4 = 1155
∴ Required probability = 1155 1365 = 77 91 = 11 13

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