Mathematics Test 243

Result

Mathematics Test 243

Score
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Weekly Quiz Competition

Question 1
4 / -1

The distance between the line r = 2i – 2j + 3k + λ(i – j + 4k) and the plane r · (i + 5j + k) = 5 is

A

B
10/3

C
10/9

D
none of these

Solution
Question 2
4 / -1

If x² – 2x + sin²α = 0, then

A
x ∈ [–1, 1]

B
x ∈ [0, 2]

C
x ∈ [–2, 2]

D
None of these

Solution
Question 3
4 / -1

A
π/8

B
π/6

C
π/4

D
π/36

Solution
Question 4
4 / -1

A
x = 0 is a point of maximum

B
x = 0 is a point of minimum

C
x = 0 is a point of intersection

D
none of these

Solution
Question 5
4 / -1

If sin⁷ y = |x³ – x²– 9x + 9| + |x³ – x² – 4x + 4| + sec²2y + cos⁴y. Then values of x and y are given by

A
x = 1, y = nπ, n ∈ I

B
x = 1, y = 2nπ + (π/2), n ∈ I

C
x = –1, y = nπ

D
x = 1, y = nπ, n ∈ I

Solution
Question 6
4 / -1

A
4√2

B
6√2

C
2√2

D
3√2

Solution

= 18

⇒ |z - 6 - 8i| = 3√2

∴ The value of |z - 6 - 8i| is 3√2.

The correct answer is Option 4.
Question 7
4 / -1

A

B

C

D
None of these

Solution

Concept:
Question 8
4 / -1

A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this group including the selection of a Captain (from among these 4 members) for the team. If the team has to include atmost one boy, the number of ways of selecting the team is

A
95

B
260

C
320

D
380

Solution
Question 9
4 / -1

It is observed that 25% of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that at least 5 of them will be solved is?

A

B
19/1024

C
19/2048

D

Solution
Question 10
4 / -1

A
0.205

B
0

C
0.795

D
1

Solution