Questions
It A and B be the points (3, 4,5) and (- 1, 3, - 7) respectively, find the equation of the set of points P such that (PA)2 + (PB)2 = K2, where K is a constant.
detailed solution
Correct option is B
Let the point P is (x, y, z).Given (PA)2 + (PB)2 = K2⇒ (x−3)2+(y−4)2+(z−5)2+(x+1)2+(y−3)2+(z+7)2=K2⇒ x2+9−6x+y2+16−8y+z2+25−10z+x2+1+2x+y2+9−6y+z2+49+14z=K2 ⇒2x2+2y2+2z2−4x−14y+4z+109−K2=0⇒2x2+y2+z2−4x−14y+4z+109−K2=0which is the required equation.Talk to our academic expert!
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