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AP EAMCET2016MathematicsParabola

The distance between the vertex and the focus of the parabola x^2-2 x+3 y-2=0 is

Options

  1. A4 5
  2. B3 4
  3. C1 2
  4. D5 6

Correct answer

B. 3 4

Step-by-step solution

Given equation of parabola aligned & x^2-2 x+3 y-2=0 & x^2-2 x+1=-3 y+2+1 & =-3 y+3 & (x-1)^2=-3(y-1) aligned Distance between the vertex and focus of parabola aligned & = 1 4 Length of latusrectum & = 1 4 4|a|= | -3 4 |= 3 4 aligned

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