Math miscellaneousHard

Question

A plane which passes through the point (3, 2, 0) and the line is

Options

A.x - y + z = 1
B.x + y + z = 5
C.x + 2y - z = 1
D.2x - y + z = 5

Solution

    ......(i)
a(x-4) + b( y - 7) + c (z - 4) = 0 ....... (ii)
Line passing through point (3, 2, 0)
a + 5x + 4 c + 0 .......... (iii)
Solving the equation we get by equation (ii)
x - y + z = 1

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