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  • Let the latus rectum of the parabola  be the common chord to the circles <img alt="C_{1}" src="http://entrancecorner.codecogs.com/gif.latex?C_%7B1%

Let the latus rectum of the parabola y^{2}=4x be the common chord to the circles C_{1} and C_{2} each of them having radius 2\sqrt{5}. Then, the distance between the centres of the circles C_{1} and C_{2} is :
Option: 1 8\sqrt{5}  
Option: 2 8
Option: 3 12
Option: 4 4\sqrt{5}

Answers (1)

best_answer

Length of latus rectum = 4

\\\mathrm{DB}=2 \\ \mathrm{C}_{1} \mathrm{~B}=\sqrt{\left(\mathrm{C}_{1} \mathrm{D}\right)^{2}-(\mathrm{DB})^{2}}=4 \\ \mathrm{C}_{1} \mathrm{C}_{2}=8

Posted by

himanshu.meshram

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