UET Lahore ECAT: Mathematics MCQs with Answers

Question 1

What is the latus rectum of the parabola y² = 8x?

Accepted Answer

8

Answer

4

Answer

12

Answer

16

Question 2

If sin^-1 (x) = π/6, then x is

Accepted Answer

1/2

Answer

-1/2

Answer

1

Answer

Not defined

Question 3

If y = 1/x, then dy/dx = ?

Accepted Answer

-1/x²

Answer

1/x²

Answer

-1/x

Answer

1/x

Question 4

If f(x) = x²e^x, then f'(x) =

Accepted Answer

x²e^x + 2xe^x

Answer

x²e^x - 2xe^x

Answer

2xe^x

Answer

x²e^x

Question 5

The number 121 is divisible by?

Accepted Answer

11

Answer

3

Answer

7

Answer

13

Question 6

What is the magnitude of vector a = 3i - 4j + 12k?

Accepted Answer

13

Answer

sqrt(109)

Answer

sqrt(13)

Answer

14

Question 7

For the equation 2x² - 3x + 1 = 0, the sum of the roots is

Accepted Answer

3 / 2

Answer

-3 / 2

Answer

1 / 2

Answer

2 / 3

Question 8

The sum of the first n odd numbers is n². If the sum is 49, then n = ?

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 9

If a = (1, 2) and b = (3, -1), find a · b.

Accepted Answer

1

Answer

5

Answer

2

Answer

0

Question 10

The angle of elevation of a tower from a point on the ground is 30°. At a point on the horizontal line passing through the foot of the tower and 100 m nearer to the tower, the angle of elevation is found to be 60°. Find the height of the tower.

Accepted Answer

86.6 m

Answer

50√3 m

Answer

100√3 m

Answer

200 m

Question 11

A tower is 100√3 m high. Find the angle of elevation of its top when observed from a point 100 m away from its foot.

Accepted Answer

60°

Answer

45°

Answer

30°

Answer

90°

Question 12

The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

Accepted Answer

16.67 m

Answer

50/3 m

Answer

25 m

Answer

30 m

Question 13

From the top of a 100 m high cliff, the angles of depression of two ships on the sea are 30° and 60°. If one ship is exactly behind the other on the same side of the cliff, find the distance between the ships.

Accepted Answer

115.47 m

Answer

100√3 / 3 m

Answer

200 / √3 m

Answer

230.94 m

Question 14

The angle of elevation of the top of a vertical tower from a point A on the ground is 60°. From a point B, 20 m vertically above A, the angle of elevation is 45°. Find the height of the tower.

Accepted Answer

47.32 m

Answer

30 + 10√3 m

Answer

20 + 20√3 m

Answer

60 m

Question 15

A tree is broken by the wind and its top touches the ground making an angle of 30° with the ground. If the length of the broken part is 20 m, find the height of the tree.

Accepted Answer

20(√3 + 1)/√3 m

Answer

30 m

Answer

20√3 m

Answer

10√3 m

Same subject, other exams

How many Mathematics MCQs does UET Lahore ECAT have on Imtehan?

Do the UET Lahore ECAT Mathematics MCQs include answers and explanations?

Is UET Lahore ECAT Mathematics practice free on Imtehan?