Solveeit Logo

Question

Question: The line drawn from (4, –1, 2) to the point (–3, 2, 3) meets a plane at right angles at the point (–...

The line drawn from (4, –1, 2) to the point (–3, 2, 3) meets a plane at right angles at the point (–10, 5, 4), then the equation of plane is

A

7x3yz+89=07x - 3y - z + 89 = 0

B

7x+3y+z+89=07x + 3y + z + 89 = 0

C

7x3y+z+89=07x - 3y + z + 89 = 0

D

None of these

Answer

7x3yz+89=07x - 3y - z + 89 = 0

Explanation

Solution

Required plane is, 7(x+10)3(y5)(z4)=07 ( x + 10 ) - 3 ( y - 5 ) - ( z - 4 ) = 0 or

7x3yz+89=07 x - 3 y - z + 89 = 0.