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Class 10MathematicsQuadratic EquationsNature of RootsHard
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How many times will the graph of (x^2-6x+9=0) touch the (x)-axis?

Answer and explanation

Correct answer: (1) time

Here (D=(-6)^2-4\cdot1\cdot9=0), so the graph touches the (x)-axis once. In exams, (D=0) indicates tangency.

Related tags

Quadratic EquationsNature Of RootsGraphicalNature Of RootsQuadratic EquationsMathematicsClass 10 Mcq
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10 more MCQs
  1. 1If p(x) = 3x² − 12x + 6, what is the nature of its zeroes?
  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?
  7. 7If the discriminant D = 49, what is the nature of the roots of the quadratic equation?
  8. 8If D = 64, what will be the nature of the roots of the quadratic equation?
  9. 9Which equation has discriminant −15?
  10. 10If one root of x² + ax + 12 = 0 is 3, what are the other root and a?
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