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Nature of Roots

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lindacarenesmook
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48 views7 pages

Nature of Roots

Uploaded by

lindacarenesmook
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1

1 Find the set of values of k for which has no real roots.

[5]

[Total: 5]
2

2 Find the values of k for which the equation has real and distinct roots.

[4]

[Total: 4]

3 Find the value of k for which the curve


3

(a) passes through the point (4, −7) ,

[1]

(b) meets the x-axis at one point only.

[2]

[Total: 3]

4 (a) Given that has no real roots, show that k satisfies .

[2]

4 (b) Solve the inequality .

[2]

[Total: 4]
4

5 Find the range of values of k for which the equation has 2 real distinct roots.

[4]

[Total: 4]
5

6 Find the values of k for which the line cuts the curve
in two distinct points.

[6]

[Total: 6]
6

7 Given that the graph of does not meet the x-axis, find the possible values of k.

[4]

[Total: 4]
7

8 Find the set of values of k for which the line does not intersect the curve .

[5]

[Total: 5]

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