Home
Class 12
MATHS
In DeltaABC the mid points of the side...

In `DeltaABC` the mid points of the sides AB, BC and CA are `(l, 0, 0), (0, m, 0) and (0, 0,n)` respectively. Then, `(AB^2+BC^2+CA^2)/(l^2+m^2+n^2)` is equal to

A

2

B

4

C

8

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

In Delta ABC the mid points of the sides AB,BC ,BC C and CA are (l,0,0),(0,m,0) and (0,0,n) respectively.Then,(AB^(2)+BC^(2)+CA^(2))/(l^(2)+m^(2)+n^(2)) is equal to

In a triangle AbC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , Tangent of internal angle A is equal to

In DeltaABC, D is any point on side BC. Prove that AB+BC+CA gt 2AD

The equations of the sides AB, BC and CA of a triangle ABC are x-2=0, y+1=0 and x + 2y - 4=0 respectively. What is the equation of the altitude through B on AC?

In a triangle ABC , if the equation of sides AB,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The equation of external bisector of angle B is

In a triangle ABC , if the equation of sides Ab,BC and CA are 2x- y + 4 = 0 , x - 2y - 1 = 0 and x + 3y - 3 = 0 respectively , The image of point b w.r.t the side cA is

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(BDEF) = 1/2ar(triangleABC)

L and M are the mid points of AB and BC respectively of DeltaABC , right angled at B . 4LC^(2)=