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Question

Question: In a three dimensional xyz space the equation \(x^{2} - 5x + 6 = 0\) represents...

In a three dimensional xyz space the equation x25x+6=0x^{2} - 5x + 6 = 0 represents

A

Points

B

Plane

C

Curves

D

Pair of straight line

Answer

Plane

Explanation

Solution

x25x+6=0x ^ { 2 } - 5 x + 6 = 0⇒ (x – 2) = 0 or (x3)=0( x - 3 ) = 0 ,

which represents a plane.