1.

For what value of K, the line (K – 3) x – (4 – K2) y + K2 – 7x + 6 = 0 is Parallel to the y- axis.

Answer»

The given equation of the line is

(K – 3) x – (4 – K2) y + K2 – 7x + 6 = 0 (i)

Here A = K – 3, B = – (4 – K2), C = K2 – 7x + 6

The line will be parallel to y – axis if

B = 0

⇒ – (4 – K2) = 0

⇒ K = ± 2



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