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Class 10 Maths Practice Test: Determination of Types of Roots
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Avg score: 75% • Most missed: “What will be the nature of the roots of the quadratic equation x2 + 10x + 25?”
Class 10 Maths Practice Test: Determination of Types of Roots
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10 Questions

1. The value of p for which the equation 8x2 + 9px + 15 has equal roots is \(\frac {4\sqrt {30}}{9}\).
2. What will be the value of a, for which the equation 5x2 + ax + 5 and x2 – 12x + a will have real roots?
3. What will be the nature of the roots of the quadratic equation 5x2 – 11x + 13?
4. What will be the nature of the roots of the quadratic equation 2x2 + 10x + 9?
5. What will be the nature of the roots of the quadratic equation x2 + 10x + 25?
6. If the roots of the equation ax2 + bx + c are real and equal, what will be the relation between a, b, c?
7. For the equation x2 + 5x – 1, which of the following statements is correct?
8. What will be the value of k, so that the roots of the equation are x2 + 2kx + 9 are imaginary?
9. What will be the value of k, if the roots of the equation (k – 4)x2 – 2kx + (k + 5) = 0 are equal?
10. The equation 9x2 – 2x + 5 is not true for any real value of x.

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