Q. 233.7( 3 Votes )

Find the equation

Answer :

Given; the points A(3, –1, 2), B(5, 2, 4) and C(–1, –1, 6)


Substituting these equations in the equation for planes:




3p − q + 2r = 1 …… (i)


5p + 2q + 4r = 1 …… (ii)


−p − q + 6r = 1 …… (iii)


(i) − (iii)


4p − 4r = 0


p = r


Substituting this in (ii)


9p + 2q = 1 ……(iv)


Substituting this in (i)


5p − q = 1 ……(v)


(iv) + 2 (v)


19p = 3







Equation of the plane is:



3x − 4y + 3z = 19 is the required equation.


Distance from (6,5,9) to above plane is:




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