Saved Bookmarks
| 1. |
.Find the product of lengths of the perpendiculars from any point on the hyperbola `x^2/16-y^2/9=1` to its asymptotes. |
|
Answer» a=4, b=3equation of asymptotes are=`y=pm(b/a)x`Required Equations:- `3x+4y=0` & `3x-4y=0` Lets points on hyperbola be `A(4,0) & B(-4,0)``d1=|(3*4+4*0)/5|=12/5` `d2=|(3*4-4*0)/5|= 12/5``product =d1*d2= 144/25=5.76` |
|