Maths-
General
Easy

Question

Given: A circle, 2 x to the power of 2 end exponent plus 2 y to the power of 2 end exponent equals 5 and a parabola, y to the power of 2 end exponent equals 4 square root of 5 x
Statement‐I:: An equation of a common tangent to these curves is y equals x plus square root of 5.
Statement‐II:: If the line, y equals m x plus fraction numerator square root of 5 over denominator m end fraction left parenthesis m not equal to 0 right parenthesis is their common tangent, then m satisfies m to the power of 4 end exponent minus 3 m to the power of 2 end exponent plus 2 equals 0.

  1. Statement‐I is true, Statement‐II is true; statement‐II is a correct explanation for Statement‐I.    
  2. Statement‐I is true, Statement‐II is true; statement‐II is not a correct explanation for Statement‐I.    
  3. Statement‐I is true, Statement‐II is false.    
  4. Statement‐I is false, Statement‐II is true.    

The correct answer is: Statement‐I is true, Statement‐II is true; statement‐II is not a correct explanation for Statement‐I.

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