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UPSC 2014 CDS I Math Paper
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© examsnet.com
Question : 14
Total: 100
In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains - 9 and - 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was
[2014 CDS-I]
x
2
+
l
0
x
+
9
=
0
x
2
−
10
x
+
16
=
0
x
2
−
l
0
x
+
9
=
0
None of the above
Validate
Solution:
Correct product of the roots
=
(
−
9
)
×
(
−
1
)
=
9
Correct sum of the roots
=
8
+
2
=
10
So, the correct equation is
x
2
– (Correct sum of the roots)x + Correct product of the roots = 0,i.e.,
x
2
–
10
x
+
9
=
0
© examsnet.com
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