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AP EAMCET · Maths · Circle

Let L1 be a straight line passing through the origin and L2 be the straight line x+y=1. If the intercepts made by the circle x2+y2-x+3y=0 on L1 and L2 are equal, then which of the following equations represent L1

  1. A x+y=0 & x+7y=0
  2. B xy=0 & x+7y=0
  3. C x7y=0 & x+y=0
  4. D x7y=0 & xy=0
Verified Solution

Answer & Solution

Correct Answer

(B) xy=0 & x+7y=0

Step-by-step Solution

Detailed explanation

Given line L2 ≡x+y-1=0 Let a straight line passing through origin and having slope m will be L1 ≡ y-mx = 0 Given circle x2+y2-x+3y=0 Here centre = C= -g,-f = 12,-32 & r = g2+f2 =102. Given that…