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TS EAMCET · Maths · Circle

The polars of -1, 2 with respect to the two circles S1x2+y2+6y+7=0 and S2x2+y2+6x+1=0 are

  1. A Parallel
  2. B coincident
  3. C Perpendicular
  4. D Intersecting at a non zero point
Verified Solution

Answer & Solution

Correct Answer

(D) Intersecting at a non zero point

Step-by-step Solution

Detailed explanation

As, polar of the circle x2+y2+2gx+2fy+c=0 with respect to pole x1,y1 is xx1+yy1+gx+x1+fy+y1+c=0 ∴Polar of the circle s1≡x2+y2+6y+7=0 with respect to pole-1,2 is given by, -x+2y+3y+2+7=0 ⇒-x+5y+13=0......1 And similarly polar of the circle x2+y2+6x+1=0 with…