wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The range of θ for which the point (3sinθ,4cosθ) lies outside x24y25=1 is

A
θR
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
θR{π4}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
θR{π2,0}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
θR{π4,0,π2}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A θR
S1<0 is the condition for the point to lie outside the hyperbola.
3sin2θ44cos2θ51<015sin2θ16cos2θ20<031sin2θ36<0sin2θ<3631θR (sin2θ[0,1])

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon