Pakistan Institute of Engineering and Applied Sciences (PIEAS) is a federal public university situated in Islamabad. The university provides courses in Engineering, Natural Sciences and formal sciences mainly but also indulges in BS, MS, M phil, PHD programmers. Other than these the university also offers short courses to Engineers, Scientists and other professionals for their continuing professional development.The Institute has been ranked No. 1 for Engineering & Technology by the Higher Education Commission (HEC), Pakistan, in all the three rankings (2006, 2012, 2013).
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In a triangle ABC, A = 45o, then the value of (1 + cot B)(1 + cot C) is equal to?
Easiest way to solve such questions is to assume angles of triangle;
A = 45o
A + B + C = 180o
B + C = 180 – 45o = 135o
Let’s take, B = 90o & C = 45o
= (1 + cot 90o) (1 + cot 45o)
= (1 + 0) (1 + 1)
= 1 x 2 = 2
Which of the following numbers lie on the imaginary axis of the Argand diagram?
- 8 + 3i
- 0 + 3i
- 8 + oi
- None of the above
0 + 3i
Only B has no real part so its lies on the imaginary axis of the Argand diagram.
Probability & Permutations
If five digit numbers are formed from 1, 2, 3, 4, 8. What is the probability of forming a number with 2 and 8 not next to each other?
So probability of 2 and 8 not next to each other is = 72/120 = 3/5