Question
Question: If the circles described on the line joining the points (0, 1) and (a, b) as diameter cuts the axis ...
If the circles described on the line joining the points (0, 1) and (a, b) as diameter cuts the axis of x in points whose abscissae are the roots of the equation x2 – 5x + 3 = 0 the (a, b) =
A
(5, 3)
B
(3, 5)
C
(–5, 3)
D
(3, –5)
Answer
(5, 3)
Explanation
Solution
Equation of circle in diameter
(x – 0) (x – a) + (y – 1) (y – b) = 0
on x axis y = 0
x2 – ax + b = 0 ...(i)
x2 – 5x + 3 = 0 ...(ii)
compare equation (i) & (ii)
a = 5, b = 3