Answer:
Option (d) is correct.
Intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)
Step-by-step explanation:
given : The equation 2x + 3y - 6z = 30
We have to find the intercept.
Intercept are the point where equations cut the x- axis, y- axis and z- axis.
Thus, at x- axis
y and z both are zero .
So, put y = z = 0
we get,
2x + 3(0) - 6(0) = 30
2x = 30
x = 15
at y- axis
x and z both are zero .
So, put x = z = 0
we get,
2(0) + 3y - 6(0) = 30
3y = 30
y = 10
at z- axis
y and x both are zero .
So, put y = x = 0
we get,
2(0)+ 3(0) - 6z = 30
-6z = 30
z= -5
Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)
