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UPSC NDA Math Model Paper 2
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© examsnet.com
Question : 70
Total: 120
The differential equation of all lines passing through the origin is:
y
=
√
x
d
y
d
x
d
y
d
x
=
x
+
y
d
y
d
x
=
y
−
x
None of these
Validate
Solution:
The general equation of all lines passing through the origin is y = mx, where m is a constant. Differentiating this equation with respect to x, we get:
d
d
x
(
y
)
=
d
d
x
(
m
x
)
⇒
d
y
d
x
=
m
=
y
x
∴ The answer is none of these.
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