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MHT CET202014 Oct 2020Morning ShiftMathematicsHyperbolaActual

The eccentricity of the hyperbola 16 x²-3 y²-32 x-12 y-44=0 is

Options

  1. A19 3
  2. B13 19
  3. C19 3
  4. D13 19

Correct answer

A. 19 3

Step-by-step solution

Equation: 16 x²-3 y²-32 x-12 y-444=0 16 (x²-2 x )-3 (y²-4 y )=44 array l 16(x+1)²-3(y-2)²=48 (x+1)² 3 - (y-2)² 16 =1 array Centre (1,-2) bength of ransuene axis =2 a aligned Length y con jugateaxis &=2 b=2 3 e &= 1+b² a² = 1+ ( 4 3 )² = 1+16 3 e &= 19 3 aligned

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