CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Let S,S be the foci and B,B be the extremities of minor axis of the ellipse x216+y29=1. If a point P is selected at random inside the ellipse, then the probability that P lies inside the quadrilateral BSBS is
  1. 74π 
  2. 78π  
  3. 72π  
  4. 73π  


Solution

The correct option is C 72π  
x216+y29=1
a=4, b=3
e=a2b2a2=716=74
Coordinates of foci are (±ae,0)
S(7,0) and S(7,0)
Coordinates of the ends of minor axis are (0,±b)
B(0,3) and B(0,3)

Area of the ellipse =πab=12π
Area of the quadrilateral BSBS =2aeb=67
Required probability =6712π=72π

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image