Mathematics Test 110

Result

Mathematics Test 110

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

is independent of n, then d is equal to

A
12

B
-6

C
6

D
-12

Solution
Question 2
4 / -1

(where C denotes constant of integration)

A

B

C

D

Solution
Question 3
4 / -1

If f(x) = cos (tan^-1x), then the value of the integral

A
(3 - √2) / 2

B
(3 + √2) / 2

C
1

D

Solution
Question 4
4 / -1

The solution of differential equation,

is

(where C denotes constant of integration)

A
(sin x)^y .(cos y)^x = C

B
(sin y)^x .(cos x)^y = C

C
(sin x)^y .(sin y)^x = C

D
(cot x)^y .(cos y)^x = C

Solution
Question 5
4 / -1

If the two parabolas y² = 4x and y² = (x – k) have a common normal other than x-axis, then value of K cannot be -

A
1

B
2

C
3

D
4

Solution
Question 6
4 / -1

Let S = 0 be an ellipse whose vertices are the extremities of minor axis of the ellipse

If S = 0 passes through the foci of E, then its eccentricity is (considering the eccentricity of E as e)

A

B

C

D

Solution
Question 7
4 / -1

P(3,2) is a point on the circle x² + y² = 13. Two points A, B are on the circle such that PA = PB = √5. The equation of chord AB is

A
4x – 6y + 21 = 0

B
6x + 4y – 21 = 0

C
4x + 6y – 21 = 0

D
6x + 4y + 21 = 0

Solution

AB is common chord of x² + y² = 13 and

circle having centre at p and radius √5.

⇒ (x – 3)² + (y – 2)² = 5 ...(1)

equation of common chord

⇒ S₁ – S₂ = 0

⇒ 6x + 4y–21 = 0
Question 8
4 / -1

Let P be a plane passing through the points (2, 1, 0), (4, 1, 1) and (5, 0, 1) and R be any point (2, 1, 6). Then the image of R in the plane P is :

A
(6, 5, –2)

B
(4, 3, 2)

C
(3, 4, –2)

D
(6, 5, 2)

Solution
Question 9
4 / -1

A
+ 1 = 0

B
+ 3 = 0

C
- 4 = 0

D
+ 2 = 0

Solution
Question 10
4 / -1

A

B

C

D

Solution