All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  WBJEE Sample Papers, Section Wise & Full Mock Tests 2025  >  WBJEE Maths Test - 10 - JEE MCQ

WBJEE Maths Test - 10 - JEE MCQ


Test Description

30 Questions MCQ Test WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 - WBJEE Maths Test - 10

WBJEE Maths Test - 10 for JEE 2024 is part of WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 preparation. The WBJEE Maths Test - 10 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 10 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 10 below.
Solutions of WBJEE Maths Test - 10 questions in English are available as part of our WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE & WBJEE Maths Test - 10 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 - 10 | 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 - 10 - Question 1
Save

In the expansion of [7 1 3 + 11 1 9 ]6561, the number of terms free from radicals is

Detailed Solution for WBJEE Maths Test - 10 - Question 1

General term,
tr + 1 = 6564Cr (7 1 3 )6561-r (11 1 9 )r
⇒ tr + 1 = 6561Cr . 7( 6561-r 3 ) . 11( r 9 )
tr + 1
will be free from radical signs, if
( 6561-r 3 ) and ( r 9 )
are integers for
0 ≤ r ≤ 6561
∴ r = 0, 9, 18, 27, ...6561
0, 9, 18, ...6561 is in A.P.
First term, a = 0
Common - difference = 18 - 9 = 9
Last term, t = 6561
l = a + (n - 1)d, where n = number of terms
⇒ 6561 = 0 + (n - 1)9
⇒ 9(n - 1) = 6561
⇒ n - 1 = 729
⇒ n = 729 + 1
⇒ n = 730

WBJEE Maths Test - 10 - Question 2
Save

If the sum of the coefficients in the expansion of (x+y)n is 1024, then the value of the greatest coefficient in the the expansion is

1 Crore+ students have signed up on EduRev. Have you? Download the App
WBJEE Maths Test - 10 - Question 3
Save

The equation of the normal to the circle x2 + y2 + 6x + 4y - 3 = 0 at (1, -2) is

WBJEE Maths Test - 10 - Question 4
Save

The approx value of (7.995)1∕3correct to four decimal places is
WBJEE Maths Test - 10 - Question 5
Save

WBJEE Maths Test - 10 - Question 6
Save

Two circles x2 + y2 - 2x + 6y + 6 = 0 and x2 + y2 - 5x + 6y + 15 = 0
WBJEE Maths Test - 10 - Question 7
Save

If |z₁ + z₂| = |z₁ - z₂|, then the difference of arguments of z₁ and z₂ is
WBJEE Maths Test - 10 - Question 8
Save

(1 − ω + ω 2 ) (1 − ω 2 + ω 4 ) (1 − ω 4 + ω 8 ) (1 − ω 8 + ω 16)    =
WBJEE Maths Test - 10 - Question 9
Save
The area of the curve |x|+|y|=4 is
WBJEE Maths Test - 10 - Question 10
Save

WBJEE Maths Test - 10 - Question 11
Save

WBJEE Maths Test - 10 - Question 12
Save

WBJEE Maths Test - 10 - Question 13
Save

The singular solution of the differential equation y=px+p3, (p=dy/dx) is :
WBJEE Maths Test - 10 - Question 14
Save

WBJEE Maths Test - 10 - Question 15
Save

The solution of the differential equation

Detailed Solution for WBJEE Maths Test - 10 - Question 15

WBJEE Maths Test - 10 - Question 16
Save

( d dx )(x2 + cos x)4 =
Detailed Solution for WBJEE Maths Test - 10 - Question 16

d dx

(x2 + cos x)4
= 4.(x2 + cos x)3 x d dx (x2 + cos x)
= 4(x2 + cos x)3 x (2x - sin x)

WBJEE Maths Test - 10 - Question 17
Save

(d/dx)[tan⁻1(secx+tanx)]=
WBJEE Maths Test - 10 - Question 18
Save

The radius of the circle passing through the foci of the ellipse ((x2/16) + (y2/9) = 1), and having its centre (0,3) is
WBJEE Maths Test - 10 - Question 19
Save

The equation of the ellipse in the form of ((x2/a2) + (y2/b2) = 1), given the eccentricity to be 2/3 and latus rectum 2/3, is
WBJEE Maths Test - 10 - Question 20
Save

The tangents to the hyperbola x2 - y2 = 3 are parallel to the st. line 2x + y + 8 = 0 at the following points
WBJEE Maths Test - 10 - Question 21
Save

The st. line lx + my + n = 0 touches the hyperbola x2/a2- y2/b2 = 1 if
WBJEE Maths Test - 10 - Question 22
Save

The function f(x) = sin 4x + cos 4x increases if
Detailed Solution for WBJEE Maths Test - 10 - Question 22

f ′ x > ⇒ 4 sin 3 x . cos x − 4 cos 3 x . sin x > 0


⇒ sin x . cos x sin 2 x − cos 2 x > 0
o r sin 2 x . cos 2 x < 0 o r sin 4 x < 0
∴ π < 4 x < 2 π o r 3 π < 4 x < 4 π
∴ π 4 < x < π 2 o r 3 π 4 < x < π .

WBJEE Maths Test - 10 - Question 23
Save

WBJEE Maths Test - 10 - Question 24
Save

tan⁻1(x/y) - tan⁻1 (x - y/x + y) is
WBJEE Maths Test - 10 - Question 25
Save

If A and B are two square matrices such that B = -A⁻1 BA, then (A + B)2 =
WBJEE Maths Test - 10 - Question 26
Save

The strength of a beam varies as the product of its breadth b and square of its depth d. A beam cut out of a circular log of radius r would be strong when
Detailed Solution for WBJEE Maths Test - 10 - Question 26

WBJEE Maths Test - 10 - Question 27
Save

|(1)/(2 + i)2 −(1)/(2 − i)2 | =
WBJEE Maths Test - 10 - Question 28
Save

The focus of the parabola x2-8x+2y+7=0 is
WBJEE Maths Test - 10 - Question 29
Save

The axis of the parabola 9y2-16x-12y-57=0 is
WBJEE Maths Test - 10 - Question 30
Save
If nP4:nP3=1:2, then n=
View more questions
3 videos|10 docs|54 tests
Join Course
Information about WBJEE Maths Test - 10 Page
In this test you can find the Exam questions for WBJEE Maths Test - 10 solved & explained in the simplest way possible. Besides giving Questions and answers for WBJEE Maths Test - 10, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE

Important Questions for WBJEE Maths Test - 10

Find all the important questions for WBJEE Maths Test - 10 at EduRev.Get fully prepared for WBJEE Maths Test - 10 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the WBJEE Maths Test - 10 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of WBJEE Maths Test - 10 resources.

WBJEE Maths Test - 10 MCQs with Answers

Prepare for the WBJEE Maths Test - 10 within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for WBJEE Maths Test - 10 WBJEE Sample Papers, Section Wise & Full Mock Tests 2025

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace WBJEE Maths Test - 10 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup