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WBJEE Maths Test - 15 - JEE MCQ


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30 Questions MCQ Test - WBJEE Maths Test - 15

WBJEE Maths Test - 15 for JEE 2024 is part of JEE preparation. The WBJEE Maths Test - 15 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 15 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 15 below.
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WBJEE Maths Test - 15 - Question 1

The sum of the co-efficients in the expansion of (x+y)n is 4096. The greatest co-efficients in the expansion is

WBJEE Maths Test - 15 - Question 2

The term independent of x in the expansion of [(x1/3/2)+(x-1/5)]8 is

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WBJEE Maths Test - 15 - Question 3

The 10th term of the expansion of (x-1)11 (in decreasing powers of x) is

WBJEE Maths Test - 15 - Question 4
The equations to the circles which touch the lines 3x - 4y + 1 = 0, 4x +3y -7 = 0 and pass through (2,3) are
WBJEE Maths Test - 15 - Question 5

If the line 2x - y + k = 0 is a diameter of the circle x2 + y2 + 6x -6y + 5 =0, then k is equal to

WBJEE Maths Test - 15 - Question 6
The real part of 1/(1-cosθ + i sinθ) is
WBJEE Maths Test - 15 - Question 7
The modulus and amplitude of (1 + i)/(1 - i) are
WBJEE Maths Test - 15 - Question 8

WBJEE Maths Test - 15 - Question 9

The area bounded by the parabola y2=4ax and the straight line y=2ax is

Detailed Solution for WBJEE Maths Test - 15 - Question 9

WBJEE Maths Test - 15 - Question 10

WBJEE Maths Test - 15 - Question 11

The area bounded by the curve y = x2 - 4x, x-axis and line x = 2 is

Detailed Solution for WBJEE Maths Test - 15 - Question 11

 

WBJEE Maths Test - 15 - Question 12

WBJEE Maths Test - 15 - Question 13

The matrix

WBJEE Maths Test - 15 - Question 14

The solution of

WBJEE Maths Test - 15 - Question 15

The differential equation which represents the family of plane curves y=exp. (cx) is

Detailed Solution for WBJEE Maths Test - 15 - Question 15

y = ecx
dy/ dx = c. ecx
y' = cy

WBJEE Maths Test - 15 - Question 16

If y = sec tan⁻x, then (dy/dx) =

WBJEE Maths Test - 15 - Question 17

If y=x2(x-2)2, then the values of x for which y is increasing, are

WBJEE Maths Test - 15 - Question 18

The value of k if 1 , 2 , k , − 1 are conjugate points with respect to the ellipse 2 x 2 + 3 y 2 = 6 is

WBJEE Maths Test - 15 - Question 19

The number of normals to the hyperbola x 2 ∕ a 2 − y 2 ∕ b 2 = 1 from an external point is

WBJEE Maths Test - 15 - Question 20

The locus of the mid-points of a focal chord of the ellipse (x2/a2) + (y2/b2) = 1 is

WBJEE Maths Test - 15 - Question 21
The eccentricity of the hyperbola 9x2 - 16y2 + 72x - 32y - 16 = 0 is
WBJEE Maths Test - 15 - Question 22

 

Detailed Solution for WBJEE Maths Test - 15 - Question 22

WBJEE Maths Test - 15 - Question 23

If 3 sin⁻1(2x/1 + x2) - 4 cos⁻1(1 - x2/1 + x2) + 2 tan⁻1(2x/1 - x2) = π/3, then x is equal to

WBJEE Maths Test - 15 - Question 24

The value of

WBJEE Maths Test - 15 - Question 25
If AB = A and BA = B, then B2 is equal to
Detailed Solution for WBJEE Maths Test - 15 - Question 25
AB = A .....(1)
BA = B .....(2)
Since BA = B
So post multiplying both sides by B, we have
BAB = B2 .....(1)
(BA)B = B2 (as BA = B)
or BB = B2
or B(AB) = B2 (as AB = A) from .....(1)
BA = B2
or BA = B
Hence B = B2
WBJEE Maths Test - 15 - Question 26

The number of values of x where attains its maximum value is

WBJEE Maths Test - 15 - Question 27

The parabola (y + 1 )2 = a (x − 2)    passes through the point (1, − 2)    . The equation of its directrix is

WBJEE Maths Test - 15 - Question 28
The complex number sinx + i cos 2 x and cos x - i sin 2 x are conjugate to each other, for
WBJEE Maths Test - 15 - Question 29
Two tangents are drawn from the point 2, 1 to the parabola y 2 = 4 x . If α is the angle between those tangents then tan α =
WBJEE Maths Test - 15 - Question 30
How many words can be formed by taking letters 4 at a time out of letters of the word MATHEMATICS?
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