Let A,B be two distinct points on the parabola y2=4x. If the axis of the parabola touches a circle of radius r having AB as diameter, the slope of the line AB is
A
−1r
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1r
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2r
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
−2r
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct options are C2r D−2r
Let coordinate of A(t21,2t1) and B(t22,2t2) ∴C≡(t21+t222,t1+t2)r=√(t1+t2)2=|t1+t2|slope of AB=2t2−2t1(t2−t1)(t1+t2)=2(t1+t2)=±2r