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AP EAMCET202017 Sep 2020Morning ShiftMathematicsEllipseActual

The value of ' (k ) ' so that the line (y=2 x+k ) may touch the ellipse (3 x^2+5 y^2=15 ) is

Options

  1. A( 23 )
  2. B( 13 )
  3. C( 33 )
  4. D( 32 )

Correct answer

A. ( 23 )

Step-by-step solution

For ( x^2 a^2 + y^2 b^2 =1 ) and (y=m x+c ) is tangent Condition of tangency is ( (c^2=a^2 m^2+b^2 ) ) Here, ( x^2 5 + y^2 3 =1 ) and (y=2 x+k ) is a tangent ( array ll & k^2=5 4+3 & k^2=23 k= 23 array )

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