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The corrdinate of the points(s) on the g...

The corrdinate of the points(s) on the graph of the function, `f(x)=(x^(3))/(3)-(5x^(2))/(2)+7x-4` where the tangent drawn cuts offintercepts from the coordinate axes which are equal in magnitude but opposite is sign, is

Text Solution

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Here `b=-a`
Equation of straight line `(x)/(a)+(y)/(b)=1`
`implies (x)/(a)+(y)/(-a)=1`
`impliesx-y=a`…….`(1)`
This line passes through the point `(5,1)`
`:. 5-1=a`
`implies a=4`
From eq. `(1)` , the required equation of line
`x-y=4`
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