University of Engineering and Technology Lahore Engineering College Admission Test (ECAT) Fall 2026

Question 1

If the roots of the quadratic equation x² - kx + 16 = 0 are equal, find the possible values of k.

Accepted Answer

±8

Answer

±4

Answer

±16

Answer

0

Question 2

Evaluate the limit: lim(x→0) (sin(5x) / 3x).

Accepted Answer

5/3

Answer

1

Answer

3/5

Answer

0

Question 3

If the sum of an infinite geometric series is 12 and the first term is 3, what is the common ratio?

Accepted Answer

3/4

Answer

1/4

Answer

1/2

Answer

2/3

Question 4

What is the derivative of f(x) = e^(2x) * ln(x)?

Accepted Answer

2e^(2x)ln(x) + e^(2x)/x

Answer

e^(2x)ln(x) + e^(2x)/x

Answer

2e^(2x)ln(x) + x*e^(2x)

Answer

e^(2x)/x

Question 5

Determine the area of the region bounded by y = x^2 and y = 4.

Accepted Answer

32/3

Answer

16/3

Answer

8/3

Answer

64/3

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