Home
Class 12
MATHS
in a triangle ABC , points X and Y a...

in a triangle ABC , points X and Y are on AB And AC , respectively , such that XY is parallel to BC . Which of the two following equalities always hold? (here [PQR] denotes the area of triangle PQR).
(i) [BCX]=[BCY]
(ii) ` [ACX].[ABY]=[AXY].[ABC]`

Promotional Banner

Similar Questions

Explore conceptually related problems

ABC is a triangle. D and E are two points on AB and AC respectively such that DE is parallel to BC and AD=1 cm , BD= 2cm . What is the ratio of the area of /_\ABC to the area /_\ADE .

In a triangle ABC, D and E are points on AB, AC respectively such that DE is parallel to BC. Suppose BE, CD intersect at O. If the areas of the triangles ADE and ODE are 3 and 1 respectively, find the area of the triangle ABC, with justification

In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, find the area of the triangle PQR

Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of triangle ADE, then the length of AD is

Points P and Q lie on sides AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 25 : 36, then the ratio PA : PB is

ABC is a triangle. D and E are two points on AB and AC such that DE and BC are parallel. If the area of DECB is m times the area of ADE then find (DB)/(AB) .

The mid-points of AB and AC of a Delta ABC are respectively X and Y. If BC + XY = 12 units, then the value of BC - XY is