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To find the point of contact p-=(x(1),y(...

To find the point of contact `p-=(x_(1),y_(1))` of a tangent to the graph of `y=f(x)` passing through origin O, we equate the slope of tangent to `y=f(x)` at p to the slope of OP. Hence, we solve the equation `f'(x_(1))=(f(x_(1)))/(x_(1))` to get `x_(1) and y_(1)`.
The equation `|lnmx|=x`, where m is a positive constant, has exactly three roots for

A

`0ltplt(m)/(e)`

B

`plt(e)/(m)`

C

`0ltplt(e)/(m)`

D

`pgt(m)/(e)`

Text Solution

Verified by Experts

The correct Answer is:
D
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