Home
Class 12
MATHS
Let A (0,2 ) , B ( 3, 0 ) , C ( 6, 4 ) ...

Let `A (0,2 ) , B ( 3, 0 ) , C ( 6, 4 ) ` be the vertices of triangle and P is a point inside the triangle such that area of triangle APB, BPC and CPA are equal. Equation of circle circumscribing ` Delta APB ` is :

A

` x ^ 2 + y^ 2 - 2x - 3y = 0`

B

` x ^ 2 + y ^ 2 - 4x - 3y = 0 `

C

` x ^ 2 + y ^ 2 - 3x - 4y = 0`

D

` x ^ 2 + y^ 2 - 3x - 2y = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
`Delta PAB = Delta PBC = DeltaPCA " " rArr " " P` is centorid .
`P(3,2)`
Also `Delta APB` is a night angle .
Cirumcirle `rArr " " (x-0)(x-3)+(y-2)(y-0) = 0`
`rArr " " x^(2) + y^(2) - 3x - 2y = 0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

Let A ( 1, 0 ) , B ( 6, 2 ) and C (( 3 ) /(2), 6 ) be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas , then the length of the line segment PQ, where Q is the point ( - ( 7 ) /(6), - ( 1 ) /(3)) , is _________.

Let O(0, 0), P(3, 4), Q(6, 0) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR, PQR are of equal area. The coordinates of R are

The points A(-4, 0), B(4, 0) and C(0, 3) are the vertices of a triangle, which is

If A(0, 0), B(2, 4) and C(6, 4) are the vertices of a triangle ABC , find the equations of its sides.

(6,0),(0,6) and (7,7) are the vertices of a triangle.The circle inscribed in the triangle has the equation

if the vertices of a triangle are (2,0), (11,6) and (-4,-4) then find the area of this triangle