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CBSE Class 10 Answered

  The line represented by x=7 is parallel to the x axis .justify whether the statement is true or not.   2.is the following statement true or not?justify our answer.  if the zeros of a quadratic polnomial ax²+bx+c are both negetive, then a,b,c all have the same sign. 3. if the polynomial x4-6x³+(sixteen) x²-25x+tenx is divided by another polynomial x²-2x+k,the remainder comes out to be x+a, findk and a
Asked by CHIDAMBAR | 05 Oct, 2018, 03:21: PM
answered-by-expert Expert Answer
 
1. The given statement is False.

Correct statement: The line represented by x=7 is parallel to the y - axis.
 
2. The given statement is True.
 
 
We have ax²+bx+c,
 
let α and β be the zero of the given Quadratic Polynomial.
 
α + β = begin mathsize 16px style fraction numerator negative straight b over denominator straight a end fraction end style and αβ = begin mathsize 16px style straight c over straight a end style
It is given that α and β are both negative.
Therefore α + β is negative and αβ is positive.
Therefore begin mathsize 16px style fraction numerator negative straight b over denominator straight a end fraction end style and begin mathsize 16px style straight c over straight a end style is positive.
begin mathsize 16px style rightwards double arrow end stylea, b, c all are positive or a, b, c all are negative.
Therefore, a, b and c all have same sign.

Answered by Yasmeen Khan | 05 Oct, 2018, 06:24: PM
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