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The x coordinate of a point on the curve 9y^2 = x^3 , the normal at which cuts off equal intercept on the axes is ?
 one year ago
 one year ago
Yahoo! Group Title
The x coordinate of a point on the curve 9y^2 = x^3 , the normal at which cuts off equal intercept on the axes is ?
 one year ago
 one year ago

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@shubhamsrg
 one year ago

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dy/dx =x^2/(6y)
 one year ago

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gradient of normal is 6y/(x^2)
 one year ago

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Nw wat to do ?
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
6y/x^2 is the slope of a line which cuts of equal intercepts as x axis.
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
hence slope should be equal to 1 or 1.
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
"6y/x^2 is the slope of a line which cuts of equal intercepts ON THE axes.
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
dw:1359206768852:dw
 one year ago

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Did nt get u
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
6y/x^2 is the slope of the normal right ?
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
and we are given that the normal cuts of equal intercepts on the axes.
 one year ago

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let the Points be (a,0) and (0,a ) ryt ?
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
any line which cuts off equal intercepts on the axes must have a slope of 1 or 1 right? Since it is making an angle of pi/4 or 3pi/4 with the +ve X axes.
 one year ago

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(a0) / (0a) = 1
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
What I mean is 6y /x^2 = 1 and/or 1
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
we also know y = x^(3/2) /3 or x^(3/2) /3
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
substitute in the previous eqn to find the required value(s) of x
 one year ago

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Yeah got it..:) thxx
 one year ago

shubhamsrg Group TitleBest ResponseYou've already chosen the best response.1
glad you did. ^_^
 one year ago
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