InterviewSolution
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InterviewSolution
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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 (iii) = `x^(2) - x + 1` and y = x - 4 |
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Answer» Graphs `y = x^(2) - x` and y = 1 intersect when `x^(2) `- x and y = 1 intersect when `x^(2)- x = 1 or x^(2) = x -1 = 0 ` Clearly, this equation has real solution. So graphs intersect. Graphs `y = x^(2) - 2x + 3` and y = sin x intersect when `x^(2)-2x + 3 = sin x(x-1)^(2)+ 2 = sin` x, which is not possible as L.H.S. has least value 2, whereas R.H.S. has maximun value 1. So, Graphs do not intersect. (iii) Graphs `y = x^(2)-x + 1` and y = x -4` intersect if `x^(2)-x + 1 = x - 4 or x^(2) = 2x + 5 = 0 or (x -1)^(2)+ 4 = 0`. Clearly. this equation has non-real roots . So, graphs do not intersect |
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