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NEST2018MathematicsQuadratic Equation

For every a R , let P_a be the parabola given by y=x^2+2 a x+a . Then

Options

  1. Athere is a common point which lies on P_a for each a
  2. Bthere is no common point which lies on P_a for each a
  3. Cthe vertex of the parabola P_a lies on the line x=-a
  4. Dthe locus of the vertex of P_a is a parabola whose vertex is (- 1 2 , 1 4 )

Correct answer

D. the locus of the vertex of P_a is a parabola whose vertex is (- 1 2 , 1 4 )

Step-by-step solution

No solution available.

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