If `A(5,2),B(10,12)` and `P(x,y)` is such that `(AP)/(PB) = (3)/(2)`, then then internal bisector of `/_APB` always passes through
A
`(20,32)`
B
`(8,8)`
C
`(8,-8)`
D
`(-8,-8)`
Text Solution
Verified by Experts
The correct Answer is:
B
Let internal bisector of `/_APB` meets the side AB at C. We know that `(AC)/(BC) =(AP)/(PB)` `:. (AC)/(BC) =(3)/(2)` `:.` coordinates of C are `((3(10)+2(5))/(3+2),(3(12)+2(2))/(3+2))` or (8,8) Hence the internal bisector of `/_APB` always passes through point (8,8)
Suppose A, B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. Then the mid point of AB is
In triangle ABC, the coordinates of the vertex A are , (4,-1) and lines x - y - 1 = 0 and 2x - y = 3 are the internal bisectors of angles B and C . Then the radius of the circles of triangle AbC is
For the curve y = 4x^(3) – 2x^(5) , find all the points at which the tangent passes through the origin.
A(1,3)and c(-2/5,-2/5) are the vertices of a DeltaABCand the equation of the angle bisector of /_ABC is x+y=2.
A(1,3)and c(-2/5,-2/5) are the vertices of a DeltaABCand the equation of the angle bisector of /_ABC is x+y=2.
A(1,3)and c(-2/5,-2/5) are the vertices of a DeltaABCand the equation of the angle bisector of /_ABC is x+y=2.
The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:
The line (p+2q)x+(p-3q)y=p-q for different values of p and q passes through the point
If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.
CENGAGE-COORDINATE SYSTEM-Multiple Correct Answers Type
