For what value of C_2, the system of equation 6x+2y=2 & 3x+y = C_2 will be coincident?

Question 62

For what value of $$C_2$$, the system of equation 6x+2y=2 & 3x+y = $$C_2$$ will be coincident?

Solution

We know that,

Two lines ax + by = c & px + qy = r are coincident if (a/p) = (b/q) = (c/r).

⇒ For the given lines to be coincident,

(6/3) = (2/1) = (2/C2)

⇒ C2 = 2/2 = 1

∴ C2 = 1

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