Quadratic Equations Practice Exercise (Basic Level- 10Quest:8 minutes) [Test]

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Sureshbala

Quadratic Equations Practice Exercise (Basic Level- 10Quest:8 minutes)

A test by Suresh.

Test Questions

Question

$If \quad \alpha,\beta \quad are \quad the \quad roots \quad of \quad 4x ^2 + 3x + 7 = 0 \quad then \quad the \quad value \quad of \quad \frac{1}{\beta} + \frac{1}{\alpha} \quad is$

Answers

Correct	Answer Text
	$\frac{3}{7}$
	$\frac{-3}{7}$
	$\frac{4}{7}$
	$\frac{-4}{7}$

Question

$If \quad \alpha,\beta \quad are \quad the \quad roots \quad of \quad x ^2 - p(x+1) + C = 0 \quad then \quad the \quad value \quad of \quad (\alpha + 1)(\beta +1) \quad is$

Answers

Correct	Answer Text
	1-C
	C-1
	1+C
	C

Question

If $4 - i\sqrt{3}$ is a root of quadratic equation, then the equation is

Answers

Correct	Answer Text

Question

If one root of the equation 5x^2 + 13x + k = 0 is the reciprocal of the other then

Answers

Correct	Answer Text
	k=6
	k=1/6
	k=5
	k=0

Question

If one root of the equation x^2 -2x + k = 0

is 1+2i, then the value of k is

Answers

Correct	Answer Text
	5
	3
	-3
	-5

Question

If the roots of the equation x^2 - 15 - k(2x-8) = 0

are equal then k =

Answers

Correct	Answer Text
	-3,5
	3,5
	3,-5
	-3,-5

Question

$If \quad \alpha,\beta \quad are \quad the \quad roots \quad of \quad x ^2 - px + q = 0 \quad then \quad the \quad value \quad of \quad \frac{\alpha ^2 + \beta ^2}{\alpha ^-2 + \beta ^-2} \quad is$

Answers