The quadratic equation 2x² - √5x + 1 = 0 has
  • two distinct real roots
  • two equal real roots
  • no real roots
  • more than 2 real roots
Which of the following equations has two distinct real roots?
  • 2x² - 3√2x + \(\frac{9}{4}\) = 0
  • x² + x - 5 = 0
  • x² + 3x + 2√2 = 0
  • 5x² - 3x + 1 = 0
Which of the following equations has no real roots?
  • x² - 4x + 3√2 = 0
  • x² + 4x - 3√2 = 0
  • x² - 4x - 3√2 = 0
  • 3x² + 4√3 +4 = 0
(x² + 1)² - x² = 0 has
  • four real roots
  • two real roots
  • no real roots
  • one real roots
Which constant must be added and subtracted to solve the quadratic equation 9x² + \(\frac{3}{4}\) x - √2 = 0 by the method of completing the square?
  • \(\frac{1}{8}\)
  • \(\frac{1}{64}\)
  • \(\frac{1}{4}\)
  • \(\frac{9}{64}\)
Which of the following is not a quadratic equation?
  • 2(x - 1)² = 4x² - 2x + 1
  • 2x - x² = x² + 5
  • (√2x + √3)² + x² = 3x² - 5x
  • (x² + 2x)² = x4 + 3 + 4x³
Which of the following equations has 2 as a root?
  • x² - 4x + 5 = 0
  • x² + 3x - 12 = 0
  • 2x² - 7x + 6 = 0
  • 3x² - 6x - 2 = 0
If \(\frac{1}{2}\)is a root of the equation x² + kx - \(\frac{5}{4}\) = 0 then the value of k is
  • 2
  • -2
  • \(\frac{1}{4}\)
  • \(\frac{1}{2}\)
Which of the following has the sum of its roots as 3?
  • 2x² - 3x + 6 = 0
  • -x² + 3x + 3 = 0
  • √2x² - \(\frac{3}{√2}\)x + 1 = 0
  • 3x² - 3x + 3 = 0
If a and b are the roots of the equation $x^2 - 7x + 8 = 0$, what is the value of $\frac {1}{a}+ \frac {1}{b}$?
  • 3/4
  • 7/8
  • 1/2
  • None of these
For what values of k does the quadratic equation $x^2+2(k-4)x+2k=0$ have no equal roots?
  • 2
  • 8
  • 5
  • None of these
The length of a rectangle exceeds its width by 8 cm and the area of the rectangle is 240 sq. cm. Find the perimeter of the rectangle?
  • 28 cm
  • 36 cm
  • 40 cm
  • None of these
The discriminant of the quadratic equation (x-3)(x-4)=0
  • 0
  • 1
  • -1
  • 2
which of these is not a quadratic equation?
  • $2x^2-6x+5=0$
  • $(x - 2)(x + 1) = (x - 1)(x + 3)$
  • $(2x - 1)(x - 3) = (x + 5)(x - 1)$
  • None of these
The hypotenuse of the right angle triangle is 13 cm, The difference of other two sides is 7 cm,The sum of other two sides is ?
  • 18
  • 17
  • 13
  • None of these
Which is not the root of the quadratic equation $x^2-6x+5=0$
  • 1
  • 5
  • 6
  • None of these
The quadratic equation $x^2-2x+6=0$ has ?
  • No real roots
  • two distinct real root
  • One root
  • None of these
The sum of ages of a son and his father is 36 years and the product of their ages isThe difference of father and son age is
  • 30
  • 26
  • 24
  • None of these
which of these is the condition for imaginary roots
  • $b^2 -4ac > 0$
  • $b^2 -4ac < 0$
  • $b^2 -4ac = 0$
  • None of these
For what values of p, the roots of the equation are real? $x^2 + 4x -p=0$  
  • $p \geq -4$
  • $p \geq 4$
  • $p \leq -4$
  • $p \leq -4$
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