Question

If O and O denote respectively the circum-centre and orthocenter of âˆ†ABC, then  

Solution

Correct option is

 

 

Replacing S by O’ in illustration 1, we get

          

SIMILAR QUESTIONS

Q1

If the sum of two unit vectors is a unit vector, then the magnitude of their difference, is

Q2

The non-zero vectors  are related by . Then the angle between 

Q3

If ABCDEF is a regular hexagon with 

Q4

If  are the position vectors of A, B respectively and C is a point on AB produced such that AC = 3 AB, then the position vector of C is 

Q5

Let  be the angle bisector of A of ∆ABC such that  then

Q6

Let D, E, F be the middle points of the sides BC, CA, AB respectively of a triangle ABC. Then,  equals

Q7

If G is the centroid of a triangle ABC, then  equals 

Q8

Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then 

Q9

If O and O denote respectively the circum-centre and orthocentre of∆ABC, then 

Q10

Consider âˆ†ABC and ∆A1B1C1 in such a way that  and M, N, M1, N1 be the mid-point of AB, BC, A1B1 and B1C1 respectively. Then,