Questions
An equation of a common tangent to the parabola
is
a
x – y + 1 = 0
b
x + y – 1 = 0
c
x + y + 1 = 0
d
y = 0
detailed solution
Correct option is C
Equation of a tangent to y2=4x is y=mx+1/mIf it touches the parabola x2=4y then the roots ofthe equation x2=4(mx+1/m) are coincident. So(4m)2+16m=0⇒m=−1 and the equation ofthe tangent is x + y + 1 = 0.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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