Mathematics Test 129

Result

Mathematics Test 129

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Weekly Quiz Competition

Question 1
4 / -1

The function

A

B

C

D
None of these

Solution
Question 2
4 / -1

If m₁, m₂, m₃ and m₄ are, respectively the magnitudes of the vectors

then the corect order of m₁, m₂, m₃ and m₄ is

A
m₃ < m₁ < m₄ < m₂

B
m₃ < m₁ < m₂< m₄

C
m₃ < m₄< m₁ < m₂

D
m₃ < m₄ < m₂ < m₁

Solution
Question 3
4 / -1

A
1/8√3

B
1/√3

C
8√3

D
√3

Solution
Question 4
4 / -1

The area bounded by y = x|sin x| and X - axis between x = 0, x = 2π is

A
2 π sq units

B
3 π sq units

C
π sq units

D
4π sq units

Solution
Question 5
4 / -1

the eccenricity of the hyperbola is

A
3/4

B
3/5

C
√41/4

D
√41/5

Solution
Question 6
4 / -1

If θ is the angle between the tangents from (-1, 0) to the circle x² + y² - 5x + 4y - 2 = 0, then θ is equal to

A
2 tan^-1 (7/4)

B
tan^-1(7/4)

C
2 cot^-1(7/4)

D
cot^-1(7/4)

Solution

we have, angle between the two tangents from (x₁,y₁)
Question 7
4 / -1

Let S_k be the sum of an infinite GP series whose first term k is k and common ratio is k/(k + 1) (k> 0). Then, the value of is equal to

A
log_e 4

B
log_e 2 - 1

C
1 - log_e 2

D
1 - log_e 4

Solution
Question 8
4 / -1

Let z₁ ≠ z₂ and |z₁| = |z₂|. If z₁ has positive real part and z₂ has negative imaginary part. Then,

A
real and positive

B
zero or purely imaginary

C
real and negative

D
None of the above

Solution
Question 9
4 / -1

, Where [] denotes the greater function is equal to

A
0

B
1

C
-1

D
does not exist

Solution
Question 10
4 / -1

Three vectors forms

A
an equilateral triangle

B
an isosceles triangle

C
a right angled triangle

D
collinear

Solution