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Look at the three parabolas described:
A touches the -axis at one point, B cuts it at two points, C does not meet it.
Match them to the discriminant signs.

Class 10Nature of Roots (Discriminant)Quadratic Equations
  • AA: D=0, B: D>0, C: D<0
  • BA: D>0, B: D=0, C: D<0
  • CA: D<0, B: D=0, C: D>0
  • DA: D=0, B: D<0, C: D>0

Step-by-Step Solution

Touching once => equal roots => D = 0 (A). Cutting twice => distinct real roots => D > 0 (B). Not meeting => no real roots => D < 0 (C).
Answer: A) A: D=0, B: D>0, C: D<0

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