Maths-
General
Easy

Question

The locus of center of a circle which passes through the origin and cuts off a length of 4 units from the lineblank x equals 3 blankis:

  1. y to the power of 2 end exponent plus 6 x equals 0    
  2. y to the power of 2 end exponent plus 6 x equals 13    
  3. y to the power of 2 end exponent plus 6 x equals 10    
  4. x to the power of 2 end exponent plus 6 y equals 10    

The correct answer is: y to the power of 2 end exponent plus 6 x equals 13


    x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 g x plus 2 f y equals 0
    2 square root of r to the power of 2 end exponent minus left parenthesis c p right parenthesis to the power of 2 end exponent end root equals 4 rightwards double arrow 2 square root of g to the power of 2 end exponent plus f to the power of 2 end exponent minus open parentheses g minus 3 close parentheses to the power of 2 end exponent end root equals 4 text ⇒ end text f to the power of 2 end exponent plus 6 g minus 13 equals 0
    L o c u s blank o f blank open parentheses negative g comma negative f close parentheses blank i s blank y to the power of 2 end exponent plus 6 x minus 13 equals 0

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