JEE Exam  >  JEE Tests  >  WBJEE Maths Test - 6 - JEE MCQ

WBJEE Maths Test - 6 - JEE MCQ


Test Description

30 Questions MCQ Test - WBJEE Maths Test - 6

WBJEE Maths Test - 6 for JEE 2024 is part of JEE preparation. The WBJEE Maths Test - 6 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 6 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 6 below.
Solutions of WBJEE Maths Test - 6 questions in English are available as part of our course for JEE & WBJEE Maths Test - 6 solutions in Hindi for JEE course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt WBJEE Maths Test - 6 | 75 questions in 120 minutes | Mock test for JEE preparation | Free important questions MCQ to study for JEE Exam | Download free PDF with solutions
WBJEE Maths Test - 6 - Question 1

The approx value of (7.995)13 correct to four decimal places is

WBJEE Maths Test - 6 - Question 2

The value of (7.995)1/3 correct to four decimal places is

1 Crore+ students have signed up on EduRev. Have you? Download the App
WBJEE Maths Test - 6 - Question 3

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

WBJEE Maths Test - 6 - Question 4

The coordinates of the point from which equal tangents are drawn to the circle x2+y2=1, x2+y2+8x+15=0 and x2+y2+10y+24=0 are

WBJEE Maths Test - 6 - Question 5

(1 − ω + ω2)7 + (1 + ω − ω2)7 =

WBJEE Maths Test - 6 - Question 6

Circles x2+y2+2gx+2fy=0 and x2+y2+2g'x+2f'y=0 touch externally, if

WBJEE Maths Test - 6 - Question 7
The reciprocal of 3+√7i is
WBJEE Maths Test - 6 - Question 8
The area bounded by the curve y=sinx, y=0, x=0 and x=(π/2) is
WBJEE Maths Test - 6 - Question 9

is equal to

WBJEE Maths Test - 6 - Question 10

WBJEE Maths Test - 6 - Question 11

If a ≠ 6, b, c satisfy = 0 then abc =

WBJEE Maths Test - 6 - Question 12

WBJEE Maths Test - 6 - Question 13

The differential equation dy/dx+sin 2y=x3cos2y is reduced to linear from dv/dx+Pv=Q where P and Q are function of x alone, by changing the variable as :

WBJEE Maths Test - 6 - Question 14

The derivative of is

WBJEE Maths Test - 6 - Question 15

If f (x)   = (x − x0) φ (x) and φ (x) is continuous at x = x0 , then f ′(x) 0 is equal to

WBJEE Maths Test - 6 - Question 16

The eccentricity of the ellipse 9x2 + 5y2 − 30y = 0 is

WBJEE Maths Test - 6 - Question 17

The roots of the equation = 0 are

Detailed Solution for WBJEE Maths Test - 6 - Question 17


WBJEE Maths Test - 6 - Question 18

The solution of differential equation

WBJEE Maths Test - 6 - Question 19

The sum of distances of any point on the ellipse 3x2 + 4y2 = 24 from its foci is

WBJEE Maths Test - 6 - Question 20

The locus of the middle points of chords of the hyperbola 3x2 − 2y2 + 4x − 6y = 0 parallel to y = 2x is

WBJEE Maths Test - 6 - Question 21

The eccentricity of the conic 9x2 - 16y= 144 is

WBJEE Maths Test - 6 - Question 22

If f(x) = x3 + 4x2 + λx + 1 is a monotonically decreasing function of x in the largest possible interval (- 2, -2/3) then

Detailed Solution for WBJEE Maths Test - 6 - Question 22

WBJEE Maths Test - 6 - Question 23

If cos⁻1x+cos⁻1y+cos⁻1z = 3π then xy + yz + zx is equal to

WBJEE Maths Test - 6 - Question 24

The maximum area of the rectangle that can be inscribed in a circle of radius r is

WBJEE Maths Test - 6 - Question 25

If |z₁|=|z₂| and amp. z₁+amp.z₂=0, then

WBJEE Maths Test - 6 - Question 26

If A and B are any 2 x 2 matrics, then det (A + B) = 0 implies

WBJEE Maths Test - 6 - Question 27

Detailed Solution for WBJEE Maths Test - 6 - Question 27

L=lim(n->∞) n(13+23+…….n3)2/12+22+…..n2)3=?

Prerequisite r. rΣn =13+23+…..n3=n2(n+1)2/4

                       r=1Σn r2=12+22+…..n2=n[(n+1)(2n+1)]/6

L=lim(n->∞) n[(n2(n+1)2)]/[(n+1)(2n+1)/6]3

L=lim(n->∞)[n2(n+1)/2]/[(2n+1)3/27]

=(1+1/∞)/(1+1/2n∞)3 x (27/16)

=27/16

lim(n->∞) n(13+23+…….n3)2/12+22+…..n2)3=27/16

WBJEE Maths Test - 6 - Question 28

The parabola with directrix x + 2y − 1 = 0 and focus (1, 0) is

WBJEE Maths Test - 6 - Question 29

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

WBJEE Maths Test - 6 - Question 30
How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?
View more questions
Information about WBJEE Maths Test - 6 Page
In this test you can find the Exam questions for WBJEE Maths Test - 6 solved & explained in the simplest way possible. Besides giving Questions and answers for WBJEE Maths Test - 6, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE