The line passing through the point (0,0) is A) y = 2 B) x = 5 C) y

1.	The line passing through the point (0,0) is A) y = 2 B) x = 5 C) y = x D) y = 2x + 3
Answer» Correct option is (C) y = x Let the line be y = mx+c ________________(1) Since, line is passing through the point (0, 0) \(\therefore\) By putting x = 0 & y = 0 in equation of line (1), we obtain \(0=m\times0+c\) \(\therefore c=0-0=0\) Put c = 0 in equation of line (1), we get \(y=mx\) ________________(2) Equation (2) represent the family of lines which passes through origin (0, 0). Since, lines in options (A), (B) & (D) have constant terms. Thus these lines does not pass through origin (0, 0). Put m = 1 in equation (2), we get \(y=x\) Hence, \(y=x\) is a line passing through the point (0, 0). Correct option is C) y = x

The line passing through the point (0,0) is A) y = 2 B) x = 5 C) y = x D) y = 2x + 3

Answer»

Correct option is (C) y = x

Let the line be y = mx+c ________________(1)

Since, line is passing through the point (0, 0)

\(\therefore\) By putting x = 0 & y = 0 in equation of line (1), we obtain

\(0=m\times0+c\)

\(\therefore c=0-0=0\)

Put c = 0 in equation of line (1), we get

\(y=mx\) ________________(2)

Equation (2) represent the family of lines which passes through origin (0, 0).

Since, lines in options (A), (B) & (D) have constant terms.

Thus these lines does not pass through origin (0, 0).

Put m = 1 in equation (2), we get

\(y=x\)

Hence, \(y=x\) is a line passing through the point (0, 0).

Correct option is C) y = x

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