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Question

STATEMENT -1 : From the given graph of y = p(x), number of zeroes of p(x) is 1.
STATEMENT -2 : The number of points where the graph cuts the x-axis gives the zeroes of any polynomial p(x).

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A
Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
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B
Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
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C
Statement - 1 is True, Statement - 2 is False
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D
Statement - 1 is False, Statement - 2 is True
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Solution

The correct option is D Statement - 1 is False, Statement - 2 is True
We know that the number of points where the graph cuts the x-axis gives the zeroes of any polynomial p(x). Since the polynomial is a linear line parallel to x-axis and is not cutting the x-axis at any point, therefore this polynomial has no zeroes/roots.

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