Maths-
General
Easy

Question

If two chords, each bisected by the x - axis can be drawn to the circle, 2 open parentheses x to the power of 2 end exponent plus y to the power of 2 end exponent close parentheses minus 2 a x minus b y equals 0 left parenthesis a not equal to 0 comma b not equal to 0 right parenthesis text end textfrom the point text end text left parenthesis a comma b divided by 2 right parenthesis text end textthen :

  1. a to the power of 2 end exponent greater than 8 b to the power of 2 end exponent    
  2. b to the power of 2 end exponent greater than 2 a to the power of 2 end exponent    
  3. a to the power of 2 end exponent greater than 2 b to the power of 2 end exponent    
  4. a to the power of 2 end exponent equals 2 b to the power of 2 end exponent    

The correct answer is: a to the power of 2 end exponent greater than 2 b to the power of 2 end exponent

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The radius of the least circle passing through the point (8, 4) and cutting the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 40 orthogonally is

The radius of the least circle passing through the point (8, 4) and cutting the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 40 orthogonally is

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P(3,2) is a point on the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 13 Two points A, B are on the circle such that P A equals P B equals square root of 5 The equation of chord AB is

P(3,2) is a point on the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 13 Two points A, B are on the circle such that P A equals P B equals square root of 5 The equation of chord AB is

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Statement – 1: Two circles of radii square root of 3 & 1 cut orthogonally then area of common region is fraction numerator 5 pi minus 6 square root of 3 over denominator 6 end fraction square unit.
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Statement (I) : 27, 8 and 12 can be three terms of G.P. as well as an A.P
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Statement (II) : Three non-zero real numbers can always be three terms of an A.P

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The value of blank to the power of n end exponent C subscript 1 end subscript minus open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction close parentheses blank to the power of n end exponent C subscript 2 end subscript plus open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 end fraction close parentheses blank to the power of n end exponent C subscript 3 end subscript minus horizontal ellipsis horizontal ellipsis horizontal ellipsis. plus left parenthesis negative 1 right parenthesis to the power of n minus 1 end exponent open parentheses 1 plus fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 end fraction plus horizontal ellipsis horizontal ellipsis horizontal ellipsis times fraction numerator 1 over denominator n end fraction close parentheses blank to the power of n end exponent C subscript n end subscript text  is end text

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Statement-1 : Silicones are resistant to heat, oxidation and most chemicals
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