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WBJEE Maths Test - 9 - JEE MCQ


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30 Questions MCQ Test WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 - WBJEE Maths Test - 9

WBJEE Maths Test - 9 for JEE 2024 is part of WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 preparation. The WBJEE Maths Test - 9 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 9 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 9 below.
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WBJEE Maths Test - 9 - Question 1

In the expansion of (1+x)(p+q) the ratio of coefficients of xp and xq is :

Detailed Solution for WBJEE Maths Test - 9 - Question 1
WBJEE Maths Test - 9 - Question 2

If T₂/T₃ in the expansion of (a+b)n and T₃/T₄ in the expansion of (a+b)(n+3) are equal, then n=

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WBJEE Maths Test - 9 - Question 3

If 1, ω, ω2 are cube roots of unity and a + b + c = 0, then (a + bω + cω2)3 + (a + bω2 + cω)3 =

WBJEE Maths Test - 9 - Question 4

If circles x2+y2+2ax+c=0 and x2+y2+2by+c=0 touch each other, then

WBJEE Maths Test - 9 - Question 5
If the coefficient of x7 and x8 are equal in the expansion of [(2)+(x/3)]n then the value of n is :
WBJEE Maths Test - 9 - Question 6

The locus of the centre of the circle which cuts circles x2+y2+2g₁x+2f₁y+c₁=0 and x2+y2+2g₂x+2f₂y+c₂=0 orthogonally, is

WBJEE Maths Test - 9 - Question 7
If the imaginary part of [(2z+1)/(iz+1)] is -2, then the locus of z in complex plane represent.
WBJEE Maths Test - 9 - Question 8

WBJEE Maths Test - 9 - Question 9

WBJEE Maths Test - 9 - Question 10

WBJEE Maths Test - 9 - Question 11
Given 2x-y+2z=2, x-2y+z=-4, x+y+λz=4, then the value of λ such that the given system of equation has no solution, is :
WBJEE Maths Test - 9 - Question 12

Detailed Solution for WBJEE Maths Test - 9 - Question 12

WBJEE Maths Test - 9 - Question 13

Detailed Solution for WBJEE Maths Test - 9 - Question 13

WBJEE Maths Test - 9 - Question 14

The solution of differential equation (dy/dx)=[(x(2logx+1))/(siny+ycosy)] is

WBJEE Maths Test - 9 - Question 15

The differential equation corresponding to the family of curves y=c(x-c)2, where c is a constant, is :

WBJEE Maths Test - 9 - Question 16

If f(x)=logx2log(x), then at x=e, f'(x)=

WBJEE Maths Test - 9 - Question 17

(d/dx)[cos⁻1((x-x⁻1)/(x+x⁻1))]=

WBJEE Maths Test - 9 - Question 18

The latus rectum of an ellipse is 1/3 of the major axis. It's eccentricity is

WBJEE Maths Test - 9 - Question 19
In an ellipse the distance between its foci is 6 and its minor axis is 8. Then its eccentricity is
WBJEE Maths Test - 9 - Question 20

The foci of the hyperbola 9x2 - 16y2 = 144 are

WBJEE Maths Test - 9 - Question 21

Equation of the tangent to the hyperbola 2x2 - 3y2 = 6 which is parallel to the line y = 3x + 4 is

Detailed Solution for WBJEE Maths Test - 9 - Question 21

Given equation of hyperbola is 2x2 - 3y2 = 6
Dividing by 6 we get



Therefore equations are:
y = 3x + 5
and y = 3x - 5

WBJEE Maths Test - 9 - Question 22

In the interval (- 3,3) the function

WBJEE Maths Test - 9 - Question 23

The value of the is

WBJEE Maths Test - 9 - Question 24

sin⁻1[2x/(1+x)] = 2tan⁻1x for

WBJEE Maths Test - 9 - Question 25
A square matrix can always be expressed as a
WBJEE Maths Test - 9 - Question 26

Largest value of min (2 + x2, 6 - 3x) when x > 0 is :

WBJEE Maths Test - 9 - Question 27
The value of 0.423 is
WBJEE Maths Test - 9 - Question 28

The vertex of the parabola x2 + 8x + 12y + 4 = 0 is

WBJEE Maths Test - 9 - Question 29

The length of the latus rectum of the parabola y2 + 8x − 2y + 17 = 0 is

WBJEE Maths Test - 9 - Question 30
The number of ways in which 5 boys and 3 girls be seated in a row so that each girl is between two boys is
Detailed Solution for WBJEE Maths Test - 9 - Question 30
First boys are seated in 5 position in 5! Ways, now remaining 4 places can be filled by 4 girls in 4! Ways.
So number of ways = 5! 4! = 2880
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