Questions
Two parabolas have the same focus. If their directrices are the x and the y-axis, respectively, then the slope of their common chord is
a
±1
b
43
c
34
d
None of these
detailed solution
Correct option is A
Let the focus be (a, b). The equations are and S1:(x−a)2+(y−b)2=x2 S2:(x−a)2+(y−b)2=y2 Common chord S1−S2=0 gives x2−y2=0 or y=±xTalk 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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