Question

Which of the following pair of graphs intersect?
(i) y=x^2- x and y = 1
(ii) y = x^2 - 2x + 3 and y = sin x
(ii) y = x^2 - x + 1 and y = x - 4
please explain your answer ​

Answer 1

answer :

(i) y=x2−xandy=1 intersect if x2−x=1orx2−x−1=0, which has real roots .

Hence, the graphs intersect.

(ii) y=x2−2x+3andy=sinx intersect if

(iii)y=x2−x+1andy=x−4 intersect if x2−x+1=x−4orx2−2x+5=0, which has non-real roots. Hence, the graph do not intersect.

Step-by-step explanation:

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