ExamBro
ExamBro
AP EAMCET · Maths · Circle

The ratio of the largest and shortest distances from the point 2,-7 to the circle x2+y2-14x-10y-151=0 is

  1. A 15:13
  2. B 7:1
  3. C 3:2
  4. D 14:1
Verified Solution

Answer & Solution

Correct Answer

(D) 14:1

Step-by-step Solution

Detailed explanation

Given equation of circle, x2-14x+49+y2-10y+25-74-151=0 On rearranging we get, x-72+y-52=225 ⇒x-72+y-52=152 So, Centre =7,5 and Radius =15 units Now putting x=2 & y=-7 In the clrcle's equation, -52+-122-225<0 So, 2,-7 lies inside the circle. Now distance from 2,-7 to…