Home
Class 12
MATHS
Prove that the points A(-5,1,1),(B(1,3,4...

Prove that the points `A(-5,1,1),(B(1,3,4),C(-1,6,10)` and `D(-7,4,7)` taken in order are the vertices of a rhombus.

Text Solution

Verified by Experts

The correct Answer is:
Therefore the quadrilateral fromed by joining the given four points is a rhombus.
NA
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the points (-4, -7), (-1, 2), (8, 5) and (5, -4) taken in order are the vertices of a rhombus. Find its area. (Hint : Area of rhombus = (1)/(2)xx product of its diagonals)

Using direction ratios prove that the points (4, 2, -6), (5, -3, 1), (12, 4, 5) and (11, 9, -2) taken in order are the vertices of a rectangle.

Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) and ( 1, 2 , 3) taken in order are the vertices of a parallelogram . Is the the parallelogram a rectangle?

Show that the points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.

Prove that the points (-7, -3), (5, 10), (15, 8) and (3, -5) taken in order are the corners of a parallelogram.

Using direction numbers show that points P(4, 7, 8) and Q(2, 3, 4), R(-1, -2, 1) and S(1, 2, 5) taken in order, are the vertices of a parallelogram. Is the parallelogram a rectangle?

Show that the points A(1,2,3) ,B(-1,-2,-1) ,C(2,3,2) and D(4,7,6) are the vertices of a parallelogram ABCD but it is not a rectangle

Prove that the points ( - 1 , - 3, 4) , ( 1 , - 6, 10) , ( 7 , - 4 , 7 ) and ( 5 , - 1 , 1) are the vertices of the rhombus .

Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the vertices of a parallelogram. Is it a rectangle ?

Prove that the points A (-2,-1) , B (5,4) C (6,7) and D (-1,2) are the vertices of a parallelogram.