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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2022 · Mathematics · Quadratic Equation

For how many quadratic equations, the sum of roots is equal to the...

For how many quadratic equations, the sum of roots is equal to the product of roots?

Options

  1. A00
  2. B11
  3. C22
  4. DInfinitely many

Correct answer

D. Infinitely many

Step-by-step solution

Sum of roots = product of roots −ba=ca⇒b=−c∴\frac{-b}{a}=\frac{c}{a} \Rightarrow b=-c \quad \therefore Quadratic equation is ax2−cx+c=0a x^2-c x+c=0 So, roots of quadratic equation depend on a,c∈Ra, c \in R. Hence, infinitely many quadratic equations.
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