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# X A,B,C,D

Mrs.CICLYKUTTY SIBI

Home Work of the 2nd 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

1. Check whether x (x+1) + 8 = (x +2) (x — 2) is a quadratic equation.
1. If x = 3/2 is the root of the quadratic equation 2x2 – kx + 3 = 0, then find the value of k.
1. Comment upon the nature of the roots of the equation 3x2 – 4√3 + 4 = 0.
1. Find the nature of the roots of the equation √3x2 – 2√2x – 2√3 = 0.
1. If the roots of ax2 + bx + c = 0 are equal then find the value of c.
1. Find the value of k for the following quadratic equation so that they have two equal roots. 2x2 + kx + 6 = 0.
1. If –5 is a root of the quadratic equation 2x2 +2px – 15 = 0 and the quadratic equation p(x2 + x ) + k = 0 has equal roots, find the value of k.
1. If one root of the quadratic equation is 2 + √3, then what is the other root? Also write the equation.
2. If α and β are the two roots of the equation 9x2 – 24x + 8 = 0 then find α + β and α.β.
1. Form a quadratic equation whose roots are –1/3 and 5/2