Question -
Answer -
Let the coordinates of P be (x,┬аy,┬аz).
The coordinates of points A and B are (4, 0, 0) and (тАУ4, 0, 0) respectively.
It is given that PA + PB = 10.
Onsquaring both sides, we obtain
Onsquaring both sides again, we obtain
25 (x2┬а+8x┬а+ 16 +┬аy2┬а+┬аz2) = 625 + 16x2┬а+ 200x
тЗТ 25x2┬а+ 200x┬а+400 + 25y2┬а+25z2┬а=625 + 16x2┬а+200x
тЗТ 9x2┬а+ 25y2┬а+ 25z2┬атАУ 225 = 0
Thus, therequired equation is 9x2┬а+ 25y2┬а+ 25z2┬атАУ 225 = 0.