Home
Class 11
MATHS
Let G be the centroid of triangle ABC an...

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A.
If AC=1, then the length of the median of triangle ABC through the vertex A is equal to

A

`(sqrt(3))/(2)`

B

`(1)/(2)`

C

`(2)/(sqrt(3))`

D

`(5)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -II:)|3 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A. If angleGAC=(pi)/(3) and a=3b . Then sin C is eqal to

If triangle ABC , AC = 13 cm. then find the length of the median BD.

In triangle ABC , angle C = 90 , AC = 6 cm, BC = 8 cm. then find the length of the median through C.

In Delta ABC , the length of the median through the vertex A is 1/2(2b^(2)+2c^(2) - a^(2))^(1//2)

The length of medians of a Delta^("le") ABC are 6, 8 , 10 then its area is

In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tanA tan C is equal to

If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a triangle ABC, then the length of the median through A is

In Delta ABC , if A= (1,2) ,B= (3,4) and AC = 3, BC= 4 , then the equation of altitude through the vertex 'C' is