SOLUTION: Find the euquation of circle which passes through (1,-2) and (4,-7)and having centre on line 3x+4y-7=0

Algebra.Com
Question 1091159: Find the euquation of circle which passes through (1,-2) and (4,-7)and having centre on line 3x+4y-7=0
Answer by ikleyn(52865)   (Show Source): You can put this solution on YOUR website!
.
Find your prototype/sample in the lesson
    - Find the standard equation of a circle, Problem 1
in this site.

Many similar problems were solved there with detailed solutions and explanations.


So, I will give you the guiding idea only:
     Find the center of the circle as the intersection of the given straight line and the perpendicular bisector 
     to the segment connecting the two given points.

Good Luck and happy learning !



RELATED QUESTIONS

Find the equation of circle which passes through (1,-2) and (4,-3) and has its centre on... (answered by josgarithmetic)
Please help me solve this problems: 1.A circle whose centre lies on the line y=3x-1,... (answered by Alan3354)
A circle passes through the centre of a circle X^2 + Y^2 - 3X - 4Y - 1 = 0 and it's... (answered by KMST)
Find the equation of the circle which passes through points (2,-2) and (3,4) and whose... (answered by ikleyn,Alan3354)
Find the equation of the circle whose centre lies on the line y=4 and which passes... (answered by Alan3354)
Find the equation of the circle that passes through (1,2) and (3,4); centre on 3x + y -... (answered by josgarithmetic,ikleyn)
Find the equation of the circle that passes through (-1,1) and with centre at the point... (answered by Fombitz,MathLover1)
A circle whose centre lies on the line y=3x-1, touches both axes. Find the equation of... (answered by ikleyn)
what is the equation of the line that passes through (5, -2) and (-3, 4)? a.)... (answered by Edwin McCravy)