Question types

Quadratic Equations question types

305 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

305
Questions
5
Question groups
5
Question types
Sample Questions

Quadratic Equations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

If the equation $x^2 + 5kx + 16 = 0$ has no real roots then:
  • A
    $\text{k} > \frac{8}{5}$
  • B
    $\text{k} < \frac{-8}{5}$
  • $\frac{-8}{5} < \text{k}<\frac{8}{5}$
  • D
    None of these.

Answer: C.

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Q 203 Marks Question3 Marks
If -4 is a root of the quadratic equation $x^2+2 x+4 p=0$, find the value of $k$ for which the quadratic equation $x^2+p x(1+3 k)+7(3$ $+2 k)=0$ has equal roots.
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A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.
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