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JEE Exam  >  JEE Tests  >  WBJEE Sample Papers, Section Wise & Full Mock Tests 2025  >  WBJEE Maths Test - 9 - JEE MCQ

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.
Solutions of WBJEE Maths Test - 9 questions in English are available as part of our WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE & WBJEE Maths Test - 9 solutions in Hindi for WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt WBJEE Maths Test - 9 | 75 questions in 120 minutes | Mock test for JEE preparation | Free important questions MCQ to study WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE Exam | Download free PDF with solutions
WBJEE Maths Test - 9 - Question 1
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In the expansion of (1+x)(p+q) the ratio of coefficients of xp and xq is :

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WBJEE Maths Test - 9 - Question 2
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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
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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
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If circles x2+y2+2ax+c=0 and x2+y2+2by+c=0 touch each other, then
WBJEE Maths Test - 9 - Question 5
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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
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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
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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
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WBJEE Maths Test - 9 - Question 9
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WBJEE Maths Test - 9 - Question 10
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WBJEE Maths Test - 9 - Question 11
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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
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WBJEE Maths Test - 9 - Question 13
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Detailed Solution for WBJEE Maths Test - 9 - Question 13

WBJEE Maths Test - 9 - Question 14
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The solution of differential equation (dy/dx)=[(x(2logx+1))/(siny+ycosy)] is
WBJEE Maths Test - 9 - Question 15
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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
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If f(x)=logx2log(x), then at x=e, f'(x)=
WBJEE Maths Test - 9 - Question 17
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(d/dx)[cos⁻1((x-x⁻1)/(x+x⁻1))]=
WBJEE Maths Test - 9 - Question 18
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The latus rectum of an ellipse is 1/3 of the major axis. It's eccentricity is
WBJEE Maths Test - 9 - Question 19
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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
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The foci of the hyperbola 9x2 - 16y2 = 144 are
WBJEE Maths Test - 9 - Question 21
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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
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In the interval (- 3,3) the function

WBJEE Maths Test - 9 - Question 23
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The value of the is
WBJEE Maths Test - 9 - Question 24
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sin⁻1[2x/(1+x)] = 2tan⁻1x for
WBJEE Maths Test - 9 - Question 25
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A square matrix can always be expressed as a
WBJEE Maths Test - 9 - Question 26
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Largest value of min (2 + x2, 6 - 3x) when x > 0 is :
WBJEE Maths Test - 9 - Question 27
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The value of 0.423 is
WBJEE Maths Test - 9 - Question 28
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The vertex of the parabola x2 + 8x + 12y + 4 = 0 is
WBJEE Maths Test - 9 - Question 29
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The length of the latus rectum of the parabola y2 + 8x − 2y + 17 = 0 is
WBJEE Maths Test - 9 - Question 30
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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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