Application of DerivativeHard
Question
The co-ordinates of point(s) on the graph of the function, f(x) =
+ 7x - 4 where the tangent drawn cut off intercepts from the co-ordinate axes which are equal in magnitude but opposite in sign, is
+ 7x - 4 where the tangent drawn cut off intercepts from the co-ordinate axes which are equal in magnitude but opposite in sign, isOptions
A.(2, 8/3)
B.(3, 7/2)
C.(1, 5/6)
D.none
Solution
Slope of tangent
f′(x) = 1
x2 - 5x + 7 = 1
x2 - 5x + 6 = 0
x = 2, 3
f(2) = 8/3, f(3) = 7/2
f′(x) = 1
x2 - 5x + 7 = 1
x2 - 5x + 6 = 0
x = 2, 3
f(2) = 8/3, f(3) = 7/2
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