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Question

‘-p’ and ‘q’ are the zeroes of the polynomial
x2bx+c.
The zeroes of the polynomial x2bxy+cy2are


A

-py,qy

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B

py,-qy

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C

py,qy

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D

None of these

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Solution

The correct option is A

-py,qy


‘-p’ and ‘q’ are the zeroes of the polynomial x2bx+c.
x2bx+c=(x+p)(xq).
x2bx+c=x2+pxqxpq
b=pq, and c=pq
x2bxy+cy2=x2(pq)xypqy2
=x2(pyqy)x(py)(qy)
=(x+py)(xqy)

Thus, the zeroes of the polynomial x2bxy+cy2 are py and qy.


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