Q. 103.7( 3 Votes )

Verify whether the following are true or false:

(i) –3 is a zero of x – 3

(ii) is a zero of 3x + 1

(iii) is a zero of 4 –5y

(iv) 0 and 2 are the zeroes of t2 – 2t

(v) –3 is a zero of y2 + y – 6

Answer :

(i) –3 is a zero of x – 3


False because zero of x – 3 = 3 x – 3 = 0 x=3


(ii) is a zero of 3x + 1


True because zero of 3x + 1 = – 1/3 3x + 1 = 0 x = – 1/3


(iii) is a zero of 4 –5y


False because zero of 4 – 5y is 4/5 4 – 5y =0 – 5y = – 4 y = 4/5


(iv) 0 and 2 are the zeroes of t2 – 2t


T2 – 2t = t(t – 2) = 0 t = 0 or 2


Hence the zero of the polynomial are 0 and 2 . the given statement is true.


(v) –3 is a zero of y2 + y – 6


y2 + y – 6 = 0


y2 + 3x – 2x – 6 = 0


y (y + 3) – 2(x + 3) = 0


(y – 2) (y + 3) =0


y = 2 or – 3


Hence – 3 is one of the zero of the polynomial. The given statement is true.


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