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Question

Question: The equation <img src="https://cdn.pureessence.tech/canvas_662.png?top_left_x=873&top_left_y=980&wid...

The equation represents a

A

Plane

B

Sphere of radius 4

C

Sphere of radius 3

D

None of these

Answer

Sphere of radius 4

Explanation

Solution

The given equation is

⇒ x2+y2+z2−2x−4y+2z−10=0x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 x - 4 y + 2 z - 10 = 0,

which is the equation of sphere, whose centre is (1, 2 –1) and radius =1+4+1+10=4= \sqrt { 1 + 4 + 1 + 10 } = 4