Questions
If m is the slope of a common tangent of the parabola and the circle , then is equal to
a
1
b
2
c
4
d
8
detailed solution
Correct option is A
Equation of a tangent to the parabola y2=16x is y=mx+4mIf this touches the circle of x2 + y2 = 8, then the distance of the centre (0, 0) of the circle from this tangent is equal to the radius 2 2 of the circle. 4m⇒ 1+m2=22⇒ 2=m2+m4⇒ m2+2m2−1=0⇒m2=1.Talk to our academic expert!
Similar Questions
The length of the perpendiculars from the focus
and the extremities of a focal chord of a parabola
on the tangent at the vertex form
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