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WBJEE 2013 Math Solved Paper
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© examsnet.com
Question : 73
Total: 80
A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point isthree times the ordinate of the point of contact. The family of curves is
x
y
= c, c is a constant
x
y
2
= c, c is a constant
x
2
y
= c, c is a constant
x
2
y
2
= c, c is a constant
Validate
Solution:
y - x
d
y
d
x
= 3y or -x
d
y
d
x
= 2y
or
d
y
y
= -2
d
x
x
(integrate ) or ln y = -2 ln x + ln c or ln y + ln
x
2
= ln or y
x
2
= c
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