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Question

The roots of the quadratic equation x2−2x−3=0 are −1 and 3. The graph of x2−2x−3 will pass through which of the following points.


A
(2,0)and(3,0)
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B
(1,0)and(3,0)
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C
(0,0)and(1,0)
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D
None of the above.
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Solution

The correct option is D (1,0)and(3,0)
Here roots of the quadratic equation x22x3=0 are given as 1 and 3. In our question too, the quadratic polynomial in question is x22x3. We know roots of a quadratic equation are xintercepts of the graph of the corresponding quadratic polynomial. Thus the graph of the quadratic polynomial x22x3 will pass through (1,3). Hence b is the correct option.

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