Question:
If cot α and cot β are the roots of the equation x2 – 3x + 2 = 0 , then what is cot(α + β) equal to?
If cot α and cot β are the roots of the equation x2 – 3x + 2 = 0 , then what is cot(α + β) equal to?
Options:
- 1/3
- 1/2
- 2
- 3
- 1/3
- 1/2
- 2
- 3
Correct Answer: a)
Explanation:
‘ Gi√en, cota and cotf are the r∞ts of x2 -3x+2=0.
1 Now, sum of r∞ts, cot & + cot §=13
i and product of r∞ts, cot a cot f=2
1 __ cot acot f—1 1
H Now, cot(a + f) = == H
—2zl_1
38
‘ Gi√en, cota and cotf are the r∞ts of x2 -3x+2=0.
1 Now, sum of r∞ts, cot & + cot §=13
i and product of r∞ts, cot a cot f=2
1 __ cot acot f—1 1
H Now, cot(a + f) = == H
—2zl_1
38