W12 Revision.docx

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Name:…………………………..

[AMF4/W12/Tue/@cikgubid] March 19, 2019

(1)

Pak Amin has a rectangular shapes of land. He planted padi and yam (keladi) on the areas as shown in the above diagram. The yam is planted on a rectangular shape area. Given the area of the land planted with padi is 115 m 2 and the perimeter of land planted with yam is 24 m. Find the area of land planted with yam.

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(2)

It is given that 3 and m  4 are the roots of the quadratic equation x 2  (n  1)x  6  0 , where m and n are constants. Find the value of m and of n.

(3)

Given the quadratic equation (1  a)x 2  2x  5  0 has no roots, find the range of values of a.

(4)

A quadratic equation x 2  4(3 x  k )  0 , where k is a constant has roots p and 2p, p  0 . (a) Find the value of p and of k. (b) Hence, form the quadratic equation which has roots p – 1 and p + 6.

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(5)

Given that α and β are the roots of the equation x2 – 2x + k = 0, while 2α and 2β are the roots of the equation x2 + mx + 9=0. Find the possible values of k and m.

(6)

If α and β are the roots of the quadratic equation 2 x 2  3 x  1  0 , form another quadratic equation with roots 3α + 2 and 3β + 2.

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(7)

The equation 2x2 + px + q = 0 has the roots –6 and 3. Find (a) the values of p and q, (b) the range of values of k if the equation 2x2 + px + q = k has no real roots.

(8)

Given the equation x2 + 3 = k(x + 1) has the roots p and q, where k is a constant, find the range of value of k if the equation has two different real roots.

(9)

One of the roots of the equation 2x2 + 6x = 2k - 1 is double of the other root, where k is a constant. Find the roots and the possible values of k.

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