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Class 10MathematicsQuadratic EquationsNature of RootsHard
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If the roots of (kx^2+4x+1=0) are equal, what is the value of (k)?

Answer and explanation

Correct answer: (4)

For equal roots, (D=0), so (4^2-4\cdot k\cdot1=0) gives (k=4). In exams, use (D=0) when equal roots are given.

Related tags

Quadratic EquationsNature Of RootsParameterNature Of RootsQuadratic EquationsMathematicsClass 10 Mcq
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  2. 2What is the maximum number of real solutions possible for 2x² + 7x + 3 = 0?
  3. 3If the discriminant D > 0 for a quadratic equation, what will be the nature of its roots?
  4. 4What is the discriminant D of 4x² + 4x + 1 = 0?
  5. 5What is the nature of the roots of x² + 6x + 9 = 0?
  6. 6If the roots of x² − 6x + k = 0 are equal, what is k?
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