Question
Question: If the sum of squares of roots of equation x<sup>2</sup> – (sin a –2) x – (1 + sin a) = 0 is the le...
If the sum of squares of roots of equation
x2 – (sin a –2) x – (1 + sin a) = 0 is the least, then a is equal
to –
A
p/4
B
p/3
C
p/2
D
p/6
Answer
p/2
Explanation
Solution
Let p, q are roots
p2 + q2 = (p + q)2 – 2pq
= (sin a –2)2 + 2 (1 + sin a)
= (sin a –1)2 + 5
least Ž sin a = 1
Ž a = p/2