Letf(x, y) = 0 be the equation of a circle. If f(0, λ) = 0 has equal roots λ = 1,1 and f(λ,0) has root λ=(1/2),2then the centre of the circle is

Question

Letf(x, y) = 0 be the equation of a circle. If f(0, λ) = 0 has equal roots λ = 1,1 and f(λ,0) has root λ=(1/2),2then the centre of the circle is (A) (1,(1/2)) (B) ((5/4),1) (C) (5,4) (D) ((1/2),1)

Tardigrade Admin · Accepted Answer

Correct answer is (b) ((5/4),1)

Q. Let $f (x, y) = 0$ be the equation of a circle. If $f (0, λ) = 0$ has equal roots $λ = 1, 1$ and $f (λ, 0)$ has root $λ = \frac{1}{2}, 2$ then the centre of the circle is

$(1, \frac{1}{2})$

$(\frac{5}{4}, 1)$

(5,4)

$(\frac{1}{2}, 1)$

Correct answer is (b) $(\frac{5}{4}, 1)$

Q. Letf(x,y)=0 be the equation of a circle. Iff(0,λ)=0has equal roots λ=1,1 and f(λ,0) has root λ=21​,2then the centre of the circle is

(1,21​)

(45​,1)