Let the latus ractum of the parabola y2=4x be the common chord to the circles C 1 and C 2 each of them having radius 2 √5. Then, the distance between the centres of the circles C 1 and C 2 is:

Question

Let the latus ractum of the parabola y2=4x be the common chord to the circles C 1 and C 2 each of them having radius 2 √5. Then, the distance between the centres of the circles C 1 and C 2 is: (A) 8 (B) 4 √5 (C) 12 (D) 8 √5

Tardigrade Admin · Accepted Answer

Length of latus rectum = 4 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/56f379e42b0098728da6d6f0d95503b4-.png" /> DB =2 C 1 B =√( C 1 D )2-( DB )2=4 C 1 C 2=8

Q. Let the latus ractum of the parabola $y^{2} = 4 x$ be the common chord to the circles $C_{1}$ and $C_{2}$ each of them having radius $25$ . Then, the distance between the centres of the circles $C_{1}$ and $C_{2}$ is:

$8$

$45$

$12$

$85$

Length of latus rectum = 4

$D B = 2$
$C_{1} B = (C_{1} D)^{2} - (D B)^{2} = 4$
$C_{1} C_{2} = 8$

Q. Let the latus ractum of the parabola y2=4x be the common chord to the circles C1​ and C2​ each of them having radius 25​. Then, the distance between the centres of the circles C1​ and C2​ is:

8

45​

12

85​

Length of latus rectum = 4 DB=2 C1​B=(C1​D)2−(DB)2​=4 C1​C2​=8

Q. Let the latus ractum of the parabola $y^{2} = 4 x$ be the common chord to the circles $C_{1}$ and $C_{2}$ each of them having radius $25$ . Then, the distance between the centres of the circles $C_{1}$ and $C_{2}$ is:

$8$

$45$

$12$

$85$

Length of latus rectum = 4

$D B = 2$
$C_{1} B = (C_{1} D)^{2} - (D B)^{2} = 4$
$C_{1} C_{2} = 8$