The co-ordinates of foci of the ellipse 16 x²+9 y²=144 are

Step-by-step solution

Center is (0,0) , focii are (0, 7 ) and (0,- 7 ) , major axis is along y -axis and is 8 , and minor axis is along x -axis and is 6 . Explanation: Note that equation 16 x²+9 y²=144 by dividing each term by 144 can be written as x² 9 + y² 16 =1 As the standard equation is of the form x² a² + y² b² =1 , center is (0,0) . In this equation major axis is along y -axis and is 2 b=8 , and minor axis is along x axis and is 2 a=6 . As a=3 and b=4 , focii are given by 4²-3² = 7 i.e. (0, 7 ) and (0,- 7 )