Radius of the circle with centre (3,-1) and cutting a chord of length 6 on the line 2 x-5 y+18=0 is

Question

Radius of the circle with centre (3,-1) and cutting a chord of length 6 on the line 2 x-5 y+18=0 is (A) √29 (B)  √38 (C) √37 (D) √41

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/0b389d1cd3b96aff3a518fc74c330246-.png" /> p=(6+5+18/√29)=√29 r2=p2+32=38 ⇒ r=√38

Q. Radius of the circle with centre $(3, - 1)$ and cutting a chord of length 6 on the line $2 x - 5 y + 18 = 0$ is

$29$

$38$

$37$

$41$

$p = \frac{6 + 5 + 18}{29} = 29$
$r^{2} = p^{2} + 3^{2} = 38 \Rightarrow r = 38$

Q. Radius of the circle with centre (3,−1) and cutting a chord of length 6 on the line 2x−5y+18=0 is

29​

38​

37​

41​