SOLUTION: if A(x,y) is equidistance from P(-3,2)and Q(2,-3), show that x =y
Algebra.Com
Question 65751: if A(x,y) is equidistance from P(-3,2)and Q(2,-3), show that x =y
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
if A(x,y) is equidistance from P(-3,2)and Q(2,-3), show that x =y
AP^2=(X+3)^2+(Y-2)^2=AQ^2=(X-2)^2+(Y+3)^2
X^2+6X+9+Y^2+4-4Y=X^2-4X+4+Y^2+9+6Y
6X+4X=6Y+4Y
10X=10Y
X=Y
RELATED QUESTIONS
1.What point on x-axis is equidistance from the points(6,7) and (4,-3)?
2.Find the... (answered by mananth)
The parabola y=x^2-3 intersects the x-axis at two points, P and Q. What is the distance... (answered by ewatrrr)
Given circle x^2-2x+y^2-16y+39=0 with center A and y-intercepts B(0;p) and C(0;q) where p (answered by Boreal)
If {{{ x = sqrt( pq ) }}} and {{{ y = expr(1/2) (p+q) }}} prove that x <... (answered by Edwin McCravy)
2. If y=p+q and z+p+q/y, express x in term of p, q and... (answered by ankor@dixie-net.com)
Q.1 If {{{ (x+iy)^(1/3)=a+ib }}} then show that {{{ 4(a^2 - b^2)=x/a + y/b }}}
Q.2... (answered by KMST)
P(-2,3), Q(8,-5) ... PQ = sqr164 and midpoint of PQ is sqr41;
Find coordinates of R (x,... (answered by MathLover1,greenestamps)
(x/p) (y/q)=2
and x y=p q
find x and... (answered by macston)
If x^2+xy+y^2=p and x^2-xy+y^2=q, find (x-y)^2 in terms of pq.Please show me step by... (answered by htmentor)