Sponsor Area
Sequences And Series
Question
The co-ordinates of a point P are (a, b, c) where a, b, c > 0. If the perpendicular distance of P from XY-plane is equal to half the sum of its perpendicular distances from ZX-plane and YZ-plane, find a relation between a, b and c.
Solution
Perpendicular distance of point P from XY-plane = 
(∵ c>0)
Similarly, the perpendicular distances of P(a, b, c) from ZX-plane and YZ-plane are b and a respectively. According to the question, we have
∴ a + b - 2c = 0
Which is the required relation between a, b and c
Some More Questions From Sequences and Series Chapter
Find the octant in which the following points lie:
A (-3,1, 2), B (-3, 1, -2), C (-3, -1,-2), D (3, -1, -2) and E (3,1, 2).
A (-3,1, 2), B (-3, 1, -2), C (-3, -1,-2), D (3, -1, -2) and E (3,1, 2).
A point lies on the x-axis at a distance of 5 units towards OX'. What are its co-ordinates?
A point lies on z-axis at a distance of 3 units in the direction OZ. Write its co-ordinates.
A point lies on y-axis and is at a distance of 4 units in the direction OY'. Write its co-ordinates.
A point lies on XY-plane with distances 4 units along OX and 3 units along OY. Write its co-ordinates.
A point lies on YZ-plane with distances 4 units along OY and 5 units along OZ'. Write its co-ordinates.
A point lies on ZX-plane with distances 3 units along OX' and 5 units along OZ'. Write its co-ordinates.
Find the perpendicular distance of point A (-3, 2, -4) from:
(a) ZX-plane (b)XY-plane (c) YZ-plane.
(a) ZX-plane (b)XY-plane (c) YZ-plane.
Sponsor Area
Mock Test Series
Mock Test Series