Sponsor Area
Sequences And Series
Question
Show that A (6, 10, 10), B (1, 0, -5) and C (6, -10, 0) are the vertices of a right angled triangle.
Solution
Using distance formula, we have
Now,
Hence, triangle ABC is a right angled triangle.
Some More Questions From Sequences and Series Chapter
Coordinate planes divide the space into _______ octants.
Let P (-2, 3, -4) is a point in space. Find the co-ordinates of the foot of perpendicular from this point to ZX-plane.
Let P (-2, 3, -4) is a point in space. Find the foot of perpendicular from this point to the z-axis.
Let P (-2, 3, -4) is a point in space. Find the the perpendicular distance of P from XY-plane.
Name the octants in which the following points lie:
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).
The co-ordinates of a point A are (2, -3, 6). Write down the co-ordinates of seven points whose absolute values are the same as those of the co-ordinates of the given point.
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).
Sponsor Area
Mock Test Series
Mock Test Series