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a circlewith its center at focus of the parabola y 2 =8x and touching its directrix intersects the parabola at points A,B . then lengthAB is equal to?

a circlewith its center at focus of the parabola y2=8x and touching its directrix intersects the parabola at points A,B . then lengthAB  is equal to?

Grade:12

2 Answers

Arun
25758 Points
2 years ago
Dear student
 
Centre of circle is (2,0)
While directrix of parabola is:
x + 2 = 0
Hence this line is a tangent to circle
 
Hnec equation of circle 
(x -2)² + y² = 4² 
Now solve circle amd parabola
Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
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