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JEE Exam  >  JEE Tests  >  WBJEE Maths Test - 11 - JEE MCQ

WBJEE Maths Test - 11 - JEE MCQ


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30 Questions MCQ Test - WBJEE Maths Test - 11

WBJEE Maths Test - 11 for JEE 2024 is part of JEE preparation. The WBJEE Maths Test - 11 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 11 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 11 below.
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WBJEE Maths Test - 11 - Question 1
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In the expansion of [(x)-(1/x)]6, the term independent of x is

WBJEE Maths Test - 11 - Question 2
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If (2r + 3)th and (r - 1)th terms in the expansion of (1 + x)15 have equal coefficients then r =

Detailed Solution for WBJEE Maths Test - 11 - Question 2
T2r + 3 = T2r + 2 + 1 = 15C2r + 2
Tr - 1 = Tr - 2 + 1 = 15Cr - 2
∴ 15C2r + 2 = 15Cr - 2
⇒ 2r + 2 + r - 2 = 15
⇒ r = 5
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WBJEE Maths Test - 11 - Question 3
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x2 + y2 + 2(2K+3)x - 2Ky +(2K+3)2 + K2 - r2 = 0 represents the family of circles with centres on the line

WBJEE Maths Test - 11 - Question 4
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If the equation [(k(x+1)2/3)]+[(y+2)2/4]=1 represents a circle, then k=
WBJEE Maths Test - 11 - Question 5
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For any complex number z, the minimum value of |z| + |z - 1| is
WBJEE Maths Test - 11 - Question 6
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WBJEE Maths Test - 11 - Question 7
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The maximum distance from the origin to the point z satisfying z+(1/z) = 2, is
WBJEE Maths Test - 11 - Question 8
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Let (1 + x)n =
C0 + C1x + C2x2 + ... + Cnxn and (C1/C0) + (2 C2/C1) + (3 C3/C2) + .... + ((n Cn)/(Cn - 1)) = (1/k)n(n + 1), then the value of k is
Detailed Solution for WBJEE Maths Test - 11 - Question 8

WBJEE Maths Test - 11 - Question 9
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WBJEE Maths Test - 11 - Question 10
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WBJEE Maths Test - 11 - Question 11
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WBJEE Maths Test - 11 - Question 12
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If the system of equations x - ky - z = 0, kx - y - x = 0, x + y - z = 0 has a non-zero solution, then the possible values of k are
WBJEE Maths Test - 11 - Question 13
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Detailed Solution for WBJEE Maths Test - 11 - Question 13

 

WBJEE Maths Test - 11 - Question 14
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Solution of the differential equation tan y sec2 x dx + tan x sec2 y dy = 0 is
WBJEE Maths Test - 11 - Question 15
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The solution of

Detailed Solution for WBJEE Maths Test - 11 - Question 15

Put x + y + 1 = z
⇒ 1 + dy /dx = dz /dx ⇒ dy /dx = dz /dx - 1
(x + y + 1) dy dx = 1
⇒ z( dz /dx - 1) = 1 ⇒ dz /dx = 1 + 1 z ⇒ z z + 1 dz = dx ⇒ ∫(1 - 1 z + 1 )dz = ∫dx
⇒ z - log(z + 1) = x + c ⇒ x + y + 1 = log(x + y + 2) + x + c ⇒ y = log(x + y + 2) + log c
⇒ ey = (x + y + z)c ⇒ x + y + 2 = cey

WBJEE Maths Test - 11 - Question 16
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If x=a(t-sint) and y=a(1-cost), (dy/dx)=
WBJEE Maths Test - 11 - Question 17
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If y=cot⁻1[(1+x)/(1-x)], (dy/dx)=
WBJEE Maths Test - 11 - Question 18
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The latus rectum of the conic 3x2 + 4y2 - 6x + 8y - 5 = 0 is
WBJEE Maths Test - 11 - Question 19
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If the length of the major axis of an ellipse is three times the length of its minor axis, then it's eccentricity is
WBJEE Maths Test - 11 - Question 20
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The vertices of a hyperbola are (2, 0), (-2, 0) and the foci are (3, 0), (-3, 0). The equation of the hyperbola is
WBJEE Maths Test - 11 - Question 21
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The eccentricity of the conic 9x2 - 16y2 = 144 is
WBJEE Maths Test - 11 - Question 22
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In the interval (- 3,3) the function

WBJEE Maths Test - 11 - Question 23
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WBJEE Maths Test - 11 - Question 24
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The value of

WBJEE Maths Test - 11 - Question 25
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If A, B are two square matrices such that AB = A and BA = B, then
WBJEE Maths Test - 11 - Question 26
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The maximum area of the rectangle that can be inscribed in a circle of radius r is
WBJEE Maths Test - 11 - Question 27
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If z2 = -i, then z =
WBJEE Maths Test - 11 - Question 28
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The equation of the normal to the curve x2 = 4y at (1, 2) is
WBJEE Maths Test - 11 - Question 29
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The length of the latus rectum of the parabola x2-4x-8y+12=0 is
WBJEE Maths Test - 11 - Question 30
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In an election there are five candidates for three places. A man can vote for maximum number of candidates. In how many total ways can a men vote?
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