# The distance of the point (1, −5, 9) from the plane x − y + z = 5 measured along theline x = y = z is : Option 1) Option 2) Option 3) Option 4)

As we learnt in

Distance formula -

The distance between two points is =

- wherein

= -

Cartesian eqution of a line -

The equation of a line passing through two points and parallel to vector having direction ratios as is given by

The equation of a line passing through two points  is given by

- wherein

Coordinates of point A

Line AP is x-1=y+5=z-9=k

Thus, x=k+1, y=k-5, z=k+9

x-y+z=5

means k+1-k-5+k+9=5

k=-10

Point A is (-9,-15,-1)

AP is

Option 1)

This option is incorrect

Option 2)

This option is correct

Option 3)

This option is incorrect

Option 4)

This option is incorrect

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