If PSQ is the focal chord of the parabola y2=8x such that SP=6. Then the length of SQ is
A
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C3 Since the semi-latus rectum of a parabola is the harmonic mean between the segments of any focal chord of the parabola, SP,4,SQ are in H.P. Therefore, 4=2SP×SQSP+SQ ⇒4=2(6)(SQ)6+SQ ⇒24+4(SQ)=12(SQ) ⇒SQ=3