Home
Class 12
MATHS
In DeltaABC, a point P is chosen on side...

In `DeltaABC`, a point P is chosen on side `vec(AB)` so that `AP : PB=1:4` and a point Q is chosen on the `vec(BC)` so that `CQ:QB =1:3`, Segment `vec(CP) and vec(AQ)` intersect at M.If the ratio `(MC)/(PC)` is expresed s rational number in the lowest term as `a/b`, find `(a+b)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

IN any /_\ABC, a point p is on the side BC. If vec(PQ) is the resultant of the vectors vec(AP) , vec(PB) and vec(PC) the prove that ABQC is a parallelogram and hence Q is a fixed point.

IN any /_\ABC, a point p is on the side BC. If vec(PQ) is the resultant of the vectors vec(AP) , vec(PB) and vec(PC) the prove that ABQC is a parallelogram and hence Q is a fixed point.

The position vector of the point which divides the join of points 2vec(a)-3vec(b) and vec(a)+vec(b) in the ratio 3:1 is

The position vectors of the points (1, -1) and (-2, m) are vec(a) and vec(b) respectively. If vec(a) and vec(b) are collinear then find the value of m.

Let vec a and vec b be the position vectors of the points (3,-5) and (m,4) respectively. Find m if the vectors vec a and vec b are collinear.

Prove by vector method that in any triangle ABC, the point P being on the side vec(BC) , if vec(PQ) is the resultant of the vectors vec(AP) , vec(PB) and vec(PC) , then ABQC is a parallelogram.

A point P with vector vec a-vec b divides A and B in the ratio 1:2 If p.v.of A is 6vec a-2vec b then find B

The position vector of the point which divides the join of points 2 vec a - 3 vec b and vec a + vec b in the ratio 3:1 is

Taken on side vec AC of a triangle ABC, a point M such that vec AM=(1)/(3)vec AC. A point N is taken on the side vec CB such that vec BN=vec CB then, for the point of intersection x vec AB and vec MN which of the following holds good?