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Quadratic Equations

Multiple Choice Questions

Which of the following equations has the sum of its roots?

x² - 5x + 6 = 0
x² - 5x - 6 = 0
x² + 5x + 6 = 0
x² + 5x - 6 = 0

2.
The minimum value of (x - 2) (x - 9) is

$negative 11 over 4$

$49 over 4$

0

$negative 49 over 4$

$negative 49 over 4$

(x - 2) (x - 9)
= (x² - 2x - 9x + 18) = (x² - 11x + 18)
As the co-efficient of x² is greater than 0,
∴ Minimum value of (x - 2) (x - 9) is given by,
= (-D/4a)
= - (b² - 4ac)/4a
= - (121 - 4*1*18)/4*1
= - (121 - 72)/4
= - 49/4

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Previous Year Papers

Test Series

Test Yourself

Multiple Choice Questions

2. The minimum value of (x - 2) (x - 9) is 0

2.
The minimum value of (x - 2) (x - 9) is

$negative 11 over 4$

$49 over 4$

0

$negative 49 over 4$