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
a
an A.P.
b
a G.P.
c
an H.P.
d
none of these.
detailed solution
Correct option is B
y2=4ax be the parabola, Pat2,2at,Qat2,−2atand the focus is S(a,0) The tangent at the vertexis x = 0. Lengths of the perpendicular from P,Q and S on this tangent are respectively l1=at2, l2=alt2,l3=a so that l1l2=a2=l32⇒l1,l2,l3 form a G.P.Talk to our academic expert!
Similar Questions
If perpendiculars are drawn on any tangent to a
parabola from the points on the
axis. The difference of the squares of their lengths
is
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