Q. 65.0( 2 Votes )

# In a three dimensional space the equation x^{2} – 5x + 6 = 0 represents

A. points

B. planes

C. curves

D. pair of straight lines

Answer :

**Given:** x^{2} – 5x + 6 = 0

x^{2} – 5x + 6 = 0

⇒ x^{2} – 3x – 2x + 6 = 0

⇒ x(x – 3) – 2(x – 3) = 0

⇒ (x – 3)(x – 2) = 0

⇒ (x – 3) = 0 or (x – 2) = 0

⇒ x = 3 or x = 2

Both the results represents planes which are parallel to yz-plane

Hence, **x ^{2} – 5x + 6 = 0 represents planes**

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