Home
Class 12
MATHS
In a DeltaABC, a line is drawn passing t...

In a `DeltaABC`, a line is drawn passing through centroid dividing AB internaly in ratio 2:1 and AC in `lamda:1` (internally). The value of `lamda` is

Text Solution

Verified by Experts

The correct Answer is:
2
`XG=kGY`
`(b+c)/(3)-(2b)/(3)=k((lamdac)/(1+lamda)-(b+c)/(3)),k=1`

`(2c)/(3)=(lamda)/(1+lamda)c`
`implies (lamda)/(1+lamda)=(2)/(3)`
`implies lamda=2`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|8 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|1 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

A variable line through the point (1/5,1/5) cuts the coordinate axes in the points A and B. If the point P divides AB internally in the ratio 3: 1, then the locus of P is :

If position vectors of the points A, B and C are a, b and c respectively and the points D and E divides line segment AC and AB in the ratio 2:1 and 1:3, respectively. Then, the points of intersection of BD and EC divides EC in the ratio

Find the equation of the line passing through the point (-1,1) and (2,4).

Find the coordinates of the point which divides the join of the points (2,-1,3) and (4,3,1) in the ratio 3:4 internally.

The locus of a point P which divides the line joining (1, 0) and (2 cos theta, 2sin theta) internally in the ratio 2 : 3 for all theta is

Find the equation of the lines passing through the point of intersection of x+2y=5 and x-3y=7 and passing through : (1,0).

If the line 2x+y=k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3:2 then k-equals.

A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordinate of the line point P which divides the join of A and B in the ratio 2:3 internally are

The slope of the line passing through the points (3,-2) and (-1,4) is: