Maths-
General
Easy

Question

Statement - I : An equation of a common tangent to the parabola y to the power of 2 end exponent equals 16 square root of 3 x text  and the end text ellipse 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 text  is  end text y equals 2 x plus 2 square root of 3
Statement - II : If the line y equals m x plus fraction numerator 4 square root of 3 over denominator m end fraction (m not equal to 0 ) is a common tangent to the parabola y to the power of 2 end exponent equals 16 square root of 3 x text  and the ellipse  end text 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank text then  end text m text  satisfies  end text m to the power of 4 end exponent plus 2 m to the power of 2 end exponent equals 24

  1. Statement I is true , statement II is true,    
  2. Statement I is true, statement II is false    
  3. Statement I is false, statement II is true    
  4. Statement I is true, statement II is true, statement II is a correct explanation for statement I    

The correct answer is: Statement I is false, statement II is true

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