CircleHard
Question
The intercept on the line y = x by the circle x2 + y2 - 2x = 0 is AB. Equation of the circle on AB as a diameter is
Options
A.x2 + y2 - x - y = 0
B.x2 + y2 - x + y = 0
C.x2 + y2 + x + y = 0
D.x2 + y2 + x - y = 0
Solution
Points of intersection of line y = x with x2 + y2 - 2x = 0 are (0, 0) and (1, 1)
hence equation of circle having end points of diameter (0, 0) and (1, 1) is
x2 + y2 - x - y = 0
hence equation of circle having end points of diameter (0, 0) and (1, 1) is
x2 + y2 - x - y = 0
Create a free account to view solution
View Solution FreeMore Circle Questions
Two parabolas have the same focus. If their directrices are the x-axis & the y-axis respectively, then the slope of thei...If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of measure 45o at the major segment of the circle th...The centres of the circles x2 + y2 _ 6x _ 8y _ 7 = 0 and x2 + y2 _ 4x _ 10y _ 3 = 0 are the ends of the diameter of the ...If a2 + b2 = 1, m2 + n2 = 1, then which of the following is true for all values of m, n, a, b -...The circle x2 + y2 - 2 x - 3 k y - 2 = 0 passes through two fixed points, (k is the parameter)...