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Topic:
Trigonometry
Question:
In a triangle ABC, A = 45o, then the value of (1 + cot B)(1 + cot C) is equal to?
Options:
- 0
- 1
- -1
- 2
Correct Option:
2
Explanation:
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
Topic:
Number Systems
Question:
Which of the following numbers lie on the imaginary axis of the Argand diagram?
Options:
- 8 + 3i
- 0 + 3i
- 8 + oi
- None of the above
Correct Option:
0 + 3i
Explanation:
Only B has no real part so its lies on the imaginary axis of the Argand diagram.
Topic:
Probability & Permutations
Question:
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?
Options:
- 2/5
- 2/7
- 5/7
- 3/5
Correct Option:
3/5
Explanation:
So probability of 2 and 8 not next to each other is = 72/120 = 3/5