Mathematics Test

Result

Mathematics Test - 2

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0.25

If sinθ + cosθ = √2sinθ, then find the value of sinθ - cosθ.

A

B

C

D

Solution
Question 2
1 / -0.25

At which point of curve 12y = x³ − 3x², the tangent is parallel to the x-axis?

A

B
(0, 1)

C

D
No where

Solution
Question 3
1 / -0.25

A
x ≤ 13

B
x ≥ 12

C
x ≥ 13

D
x = 13

Solution
Question 4
1 / -0.25

If p^th term of a HP be q and q^th term be p, then its (p + q)^th term is -

A

B

C

D
p + q

Solution
Question 5
1 / -0.25

A

B

C
e^xx + C, where C is constant of integration

D
x²e^x + C, where C is constant of integration

Solution
Question 6
1 / -0.25

A
22

B
33

C
44

D
55

Solution
Question 7
1 / -0.25

A

B

C

D
Solution
Formula used:
- log m + log n = log mn
- log m - log n = log (m/n)
- log mⁿ = n log m
Question 8
1 / -0.25

Find the value of x for which log₄ (x² - 14x + 64) = 2

A
- 6 and 8

B
- 6 and - 8

C
6 and - 8

D
6 and 8

Solution
Question 9
1 / -0.25

A
4

B
3 + √2

C
9

D
4 + √2

Solution
Question 10
1 / -0.25

If ω is the cube root of unity, then what is the value of

A
1

B
ω + ω²

C
0

D

Solution

Concept:

If the 1, ω and ω² are the cube roots of unity, then 1 + ω + ω² = 0

If any row and column have all the elements as zero in the square matrix, then the determinant is zero.

Calculation: