Download the app

Questions  

Consider equation (xsinα)(xcosα)2=0. Which of the following is/are true?

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
If 0<α<π4, then the equation has both roots in (sin⁡α, cos⁡α)
b
If π4<α<π2, then the equation has both roots in (sin⁡α, cos⁡α)
c
If 0<α<π4, then one root lies in (−∞, sin⁡α) and the other in (cos⁡α, ∞)
d
If π4<α<π2, then one root lies in (−∞, cos⁡α) and the other in (sin⁡α, ∞)
NEW

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

Let f(x)=(x−sin⁡α)(x−cos⁡α)−2.Then, f(sin⁡α)=−2<0 and f(cos⁡α)=−2<0.So, sin⁡α and cos⁡α lie between the roots.For 0<α<π4,sin⁡α


ctaimg

Similar Questions

If the equation ax2 + bx + c = 0 (a > 0) has two real roots α and β such that α<2 and β>2, then which of the following statements is/are true?

Get your all doubts cleared from
Sri Chaitanya experts

counselling
india
+91

phone iconwhats app icon