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WBJEE Maths Test - 5 - JEE MCQ


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30 Questions MCQ Test - WBJEE Maths Test - 5

WBJEE Maths Test - 5 for JEE 2024 is part of JEE preparation. The WBJEE Maths Test - 5 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 5 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 5 below.
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WBJEE Maths Test - 5 - Question 1

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

WBJEE Maths Test - 5 - Question 2

In the expansion of (1+x)(2n+2) the maximum coefficient is :

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WBJEE Maths Test - 5 - Question 3

The coefficient of the middle term in the binomial expansion in powers of x of (1+αx)4 and (1-αx)6 is the same, if α equals

WBJEE Maths Test - 5 - Question 4

The length of tangents drawn from the point (5,1) is to the circle x2+y2+6x-4y-3=0

WBJEE Maths Test - 5 - Question 5

WBJEE Maths Test - 5 - Question 6
The lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangent to the same circle. The radius of this circle is
WBJEE Maths Test - 5 - Question 7

If ω is cube root of unity, then (1 + ω3) - (1 + ω2)3 =

WBJEE Maths Test - 5 - Question 8

is equal to

WBJEE Maths Test - 5 - Question 9

WBJEE Maths Test - 5 - Question 10

If is a singular matrix, then x =

WBJEE Maths Test - 5 - Question 11

WBJEE Maths Test - 5 - Question 12

WBJEE Maths Test - 5 - Question 13

Let f(x) be a function satisfying f ′(x)= f x with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x2, then value of integral
  is equal to

WBJEE Maths Test - 5 - Question 14

A singular solution of the differential equation y2[1+(dy/dx)2]=R2 is :

WBJEE Maths Test - 5 - Question 15

The order and degree of the differential equation d2y/dx2 + (dy/dx)1/3 + x1=0 are respectively

WBJEE Maths Test - 5 - Question 16

If y=sin((1+x2)/(1-x2)), (dy/dx)=

WBJEE Maths Test - 5 - Question 17

Detailed Solution for WBJEE Maths Test - 5 - Question 17

WBJEE Maths Test - 5 - Question 18

The latus rectum of the ellipse 5x2 + 9y2 = 45 is

WBJEE Maths Test - 5 - Question 19

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

WBJEE Maths Test - 5 - Question 20
The locus of the centre of a circle which touches given circles externally is
WBJEE Maths Test - 5 - Question 21

The product of the perpendicular, drawn from any point on a hyperbola to its asymptotes is

WBJEE Maths Test - 5 - Question 22

The value of  

WBJEE Maths Test - 5 - Question 23

A and B are square matrices of order n x n, then (A - B)2 is equal to

Detailed Solution for WBJEE Maths Test - 5 - Question 23

(A - B) x (A - B)
(A - B) x A - (A - B) x B
= A2 - AB - BA + B2

WBJEE Maths Test - 5 - Question 24

The coordinates of a point of the parabola y=x2+7x+2 which is the closest to the straight line y=3x-3 is

WBJEE Maths Test - 5 - Question 25

[sin(tan⁻1(3/4))]2=

WBJEE Maths Test - 5 - Question 26

Let a + b = 4, a < 2 and g(x) be a monotonically increasing function of x.
Then,  

Detailed Solution for WBJEE Maths Test - 5 - Question 26

We have a + b = 4 ⇒ b = 4 − a and b − a = 4 − 2 a = t (say)

Thus, f(a) is an increasing function of t. Hence, the given expression increases with increase in (b-a).

WBJEE Maths Test - 5 - Question 27

The number (1-i)3/1-i3 is equal to

WBJEE Maths Test - 5 - Question 28

The length of the latus rectum of the parabola x2-4x-8y+12=0 is

WBJEE Maths Test - 5 - Question 29

The length of the latus rectum of the parabola 4y2+2x-20y+17=0 is

WBJEE Maths Test - 5 - Question 30
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of there parallel lines is :
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