Tangents are drawn to x2+y2=1 from any arbitrary point P on the line 2x+y−4=0. The corresponding chord of contact passes through a fixed point whose coordinates are
A
(14,12)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(12,1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(12,14)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
(1,12)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C(12,14) Let P≡(a,4−2a) be any point on 2x+y=4
Equation of chord of contact drawn from P is T=0⇒x⋅a+y.(4−2a)=1 ⇒(4y−1)+a(x−2y)=0
the above equation represents family of lines which passes through intersection points of y=1/4 and x=2y