If the curve y=|x−3| touches the parabola y2=λ(x−4),λ>0, then length of latus rectum of the parabola(in units) is
A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B4 The curve y=|x−3| can be rewritten as y={x−3,x≥33−x,x<3
Hence curve will touch the parabola y2=λ(x−4) for x≥3 as λ>0
Now, let X=x−4, then y2=λX and y=X+1
Now, using the tangency condition m=1,c=1⇒c=am⇒λ4=1⇒λ=4