Mathematics Test 301

Result

Mathematics Test 301

Score
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out of -
Rank
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TIME Taken - -

Weekly Quiz Competition

Question 1
4 / -1

The value of : tan{sin^–1(cos(sin^–1 x))}. tan{cos^-1(sin(cos^–1x))} ; x ∈ (0, 1) is equal to ;

A
0

B
1

C
-1

D
none of these

Solution
Question 2
4 / -1

If α₁, α₂,...., α_n are in A.P. with common difference θ, then the sum of the series sec α₁ sec α₂ + sec α₂ sec α₃ + ....+ sec α_n-1 sec α_n = k(tan α_n - tan α₁) where k =

A
sin θ

B
cos θ

C
sec θ

D
cosec θ

Solution
Question 3
4 / -1

The area (in sq. units) of the quadrilateral formed by the tangent at the end points of the latus rectum to the ellipse

A

B
18

C

D
27

Solution

The tangents drawn at the end of the latera rectum to the ellipse will intersect at the x and the y axis because of symmetry. The area of the quadrilateral thus formed will be 4 times the area of the triangle formed by the tangent and the coordinate axis.
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

A

B

C
2

D

Solution
Question 6
4 / -1

If complex numbers a₁, a₂, a₃... are in G.P. having common ratio r such that then number of possible values of r is

A
1

B
2

C
3

D
4

Solution
Question 7
4 / -1

A
99

B
100

C
101

D
none of these

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

Let y = f ( x ) be a thrice differentiable function in (− 4, 4). Let the tangents to the curve y = f (x) at (2, f(2)) and (3, f(3)) make angles π/6 and π/3, respectively with positive x-axis. where α is an integers, then the value of α equals

A
10

B
20

C
35

D
50

Solution
Question 10
4 / -1

A
Statement 1 is false, Statement 2 is true.

B
Statement 1 is true, Statement 2 is true, Statement 2 is a correct expalnation for Statement 1

C
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.

D
Statement 1 is true, Statement 2 is false.

Solution