Question

The length of the normal drawn from the origin to the plane x-4y+8z-27=0 is given by

Answer 1

S

ol.Centre C= (2, –3, 4), radius r =5.Equation of the sphere is

( ) ( ) ( )

2 2 22

x a y b z c r

− + − + − =

(x – 2)

2

+ (y + 3)

2

+ (z – 4)

2

= 25x

2

– 4x + 4 + y

2

+ 6y + 9 + z

2

– 8z + 16–25 = 0x

2

+ y

2

+ z

2

– 4x + 6y – 8z + 4 = 0.