Q. 4

Mark against the A. x + y + z = 3

B. x + y + z = 6

C. x + y + z = 9

D. x + y + z = 4

Answer :

Given: A(2, -3, 7) is a point on the plane making equal intercepts on the axes.


Formula Used: Equation of plane is where (x, y, z) is a point on the plane and a, b, c are intercepts on x-axis, y-axis and z-axis respectively.


Explanation:


Let the equation of the plane be


… (1)


Here a = b = c = p (let’s say)


Since (2, -3, 7) is a point on the plane,


(1) becomes



p = 6


Therefore equation of the plane is


x + y + z = 6

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