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NEST2020MathematicsCircle

For a positive integer k , let P _k be the parabola given by y= x^2 k -5 and let C be the circle given by x^2+y^2=25 Then

Options

  1. Athere is a k such that P _k and C intersect each other at three distinct points
  2. BP _k and C intersect each other at least once for all k
  3. Cthere are infinitely many values of k such that P _k and C intersect each other at more than one point
  4. Dthere is a k such that P _k and C intersect each other exactly once

Correct answer

D. there is a k such that P _k and C intersect each other exactly once

Step-by-step solution

No solution available.

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