Mathematics Test

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Mathematics Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

A
120

B
210

C
310

D
45
Question 2
1 / -0

If the vectors = 5i - 2j + 4k are the sides of a triangle ABC, then the length of the median through A is

A
√72

B
√33

C
√45

D
√18
Question 3
1 / -0

If ∫f (x) dx =Ψ(x) , then ∫x⁵f(x³) dx is equal to

A
(1/3)x³Ψ(x³) - 3 ∫x³Ψ(x³) dx + C

B
(1/3)x³Ψ(x³) - ∫x²Ψ(x³) dx + C

C
(1/3)[x³Ψ(x³) - ∫x³Ψ(x³) dx] + C

D
(1/3)[x³Ψ(x³) - ∫x²Ψ(x³) dx ]+ C
Question 4
1 / -0

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A × B having 3 or more elements is

A
220

B
219

C
211

D
256
Question 5
1 / -0

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

A
5/2

B
7/2

C
9/2

D
3/2
Question 6
1 / -0

The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point

A
(2, −5)

B
(5, −2)

C
(−2, 5)

D
(−5, 2)
Question 7
1 / -0

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :

A
at least 1000

B
less than 500

C
at least 500 but less than 750

D
at least 750 but less than 1000
Question 8
1 / -0

The expression tan [A / (1 - cot A)] + [cot A / (1 - tan A)] can be written as

A
secA cosecA + 1

B
tanA + cotA

C
secA + cosecA

D
sinA cosA + 1
Question 9
1 / -0

If y = sec(tan^-1x), then dy/dx at x = 1 is equal to

A
1/2

B
1

C
√2

D
1/√2
Question 10
1 / -0

The equation of the circle passing through the foci of the ellipse x²/16 + y²/9 = 1 , and having centre at (0, 3) is

A
x² + y² -6y +7 = 0

B
x² + y² -6y -5 = 0

C
x² + y² -6y +5 = 0

D
x² + y² -6y -7 = 0

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Re-Attempt Weekly Quiz Competition

Mathematics Test - 3

Result

Mathematics Test - 3

Score

-

Rank

-

SHARING IS CARING

Question 1

120

210

310

45

Question 2

√72

√33

√45

√18

Question 3

(1/3)x3Ψ(x3) - 3 ∫x3Ψ(x3) dx + C

(1/3)x3Ψ(x3) - ∫x2Ψ(x3) dx + C

(1/3)[x3Ψ(x3) - ∫x3Ψ(x3) dx] + C

(1/3)[x3Ψ(x3) - ∫x2Ψ(x3) dx ]+ C

Question 4

220

219

211

256

Question 5

5/2

7/2

9/2

3/2

Question 6

(2, −5)

(5, −2)

(−2, 5)

(−5, 2)

Question 7

at least 1000

less than 500

at least 500 but less than 750

at least 750 but less than 1000

Question 8

secA cosecA + 1

tanA + cotA

secA + cosecA

sinA cosA + 1

Question 9

1/2

1

√2

1/√2

Question 10

x2 + y2 -6y +7 = 0

x2 + y2 -6y -5 = 0

x2 + y2 -6y +5 = 0

x2 + y2 -6y -7 = 0

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(1/3)x³Ψ(x³) - 3 ∫x³Ψ(x³) dx + C

(1/3)x³Ψ(x³) - ∫x²Ψ(x³) dx + C

(1/3)[x³Ψ(x³) - ∫x³Ψ(x³) dx] + C

(1/3)[x³Ψ(x³) - ∫x²Ψ(x³) dx ]+ C

x² + y² -6y +7 = 0

x² + y² -6y -5 = 0

x² + y² -6y +5 = 0

x² + y² -6y -7 = 0