Complex Numbers And Quadratic Equations question 718
Question: The number of roots of the quadratic equation $ 8{{\sec }^{2}}\theta -6\sec \theta +1=0 $ is [Pb. CET 1989, 94]
Options:
A) Infinite
B) 1
C) 2
D) 0
Show Answer
Answer:
Correct Answer: D
Solution:
$ 8{{\sec }^{2}}\theta -6\sec \theta +1=0 $ Þ $ \sec \theta =\frac{1}{2} $ or $ \sec \theta =\frac{1}{4} $ , but $ \sec \theta \ge 1\ or\ \sec \theta \le -1 $ . Hence the given equation has no solution.
BETA
