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Question: The plane containing the two lines \(\frac{x - 3}{1}\)= \(\frac{y - 2}{4}\) = \(\frac{z - 1}{5}\) an...

The plane containing the two lines x−31\frac{x - 3}{1}= y−24\frac{y - 2}{4} = z−15\frac{z - 1}{5} and x−21\frac{x - 2}{1} = y+3−4\frac{y + 3}{- 4} = z+15\frac{z + 1}{5} is 11x + my + nz = 28 where-

A

m = –1, n = 3

B

m = 1, n = –3

C

m = –1, n = –3

D

m = 1, n = 3

Answer

m = –1, n = –3

Explanation

Solution

Point (3, 2, 1) & (2, –3, –1)

lies on 11x + my + nz = 28

i.e., 33 + 2m + n = 28

Ž 2m + n = –5 … (1)

and 22 – 3m – n = 28

Ž –3m – n = 6 … (2)

From (1) and (2)

m = –1 & n = –3.