**Mrs.CICLYKUTTY SIBI**

**Home Work of the 2 ^{nd }week of July.**

**Given Date: 19/07/09 Date of Submission: 21/07/09**

Exercise 4.2

Q 1 – ii, iii

Q 3

Q 4

Exercise 4.3

Q 1 – ii

Q 3 – ii

Q 4

Q 6

**Extra Questions for practice: Quadratic Equations**

- Check whether x (x+1) + 8 = (x +2) (x — 2) is a quadratic equation.

- If x = 3/2 is the root of the quadratic equation 2x
^{2}– kx + 3 = 0, then find the value of k.

- Comment upon the nature of the roots of the equation 3x
^{2}– 4√3 + 4 = 0.

- Find the nature of the roots of the equation √3x
^{2 }– 2√2x – 2√3 = 0.

- If the roots of ax
^{2}+ bx + c = 0 are equal then find the value of c.

- Find the value of k for the following quadratic equation so that they have two equal roots. 2x
^{2}+ kx + 6 = 0.

- If –5 is a root of the quadratic equation 2x
^{2}+2px – 15 = 0 and the quadratic equation p(x^{2}+ x ) + k = 0 has equal roots, find the value of k.

- If one root of the quadratic equation is 2 + √3, then what is the other root? Also write the equation.
- If α and β are the two roots of the equation 9x
^{2}– 24x + 8 = 0 then find α + β and α.β.

- Form a quadratic equation whose roots are –1/3 and 5/2

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