Notes
IIT Madras
Mathematics 🧮
Activity Questions 3.9

Activity Questions 3.9

Multiple Choice Questions (MCQ):

Question 1

The quadratic equation $9x^2 + 6x + 1 = 0$ has

Multiple choice options:

  • Two distinct roots
  • Equal roots
  • No roots
  • Inadequate information

Solution

Question 2

If two different quadratic equations have same discriminant then choose the correct option.

Multiple choice options:

  • The roots of both equation will always be same
  • The roots of both equation will always be real
  • The roots of both equation will always be distinct
  • Discriminant can not determine the relation between the roots of two different equations

Solution

Question 3

What will the roots of equation $2x^2 - x - 10 = 0$ be?

Multiple choice options:

  • Cannot be determined
  • 2 and $\frac{5}{2}$
  • -2 and $\frac{5}{2}$
  • 2 and $-\frac{5}{2}$

Solution

Multiple Select Questions (MSQ):

Question 4

Which of the following gives distinct real roots?

Multiple select options (checkboxes):

  • $69x^2 - 42x - 56 = 0$
  • $69x^2 - 10x + 560 = 0$
  • $9x^2 - 10x + 1 = 0$
  • $9x^2 - 10x - 1 = 0$

Solution

All questions focus on quadratic equations, covering topics like discriminant analysis, nature of roots, and solving quadratic equations to find specific root values.

Solution

Solution

Solution

Solution

Solution of quadratic equation using Square methodQuadratic formula

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