Application of DerivativeHard
Question
The abscissa of the point on the curve ay2 = x3, the normal at which cuts off equal inter cents from the axes is-
Options
A.1
B.4a/3
C.3
D.4a/9
Solution
The abscissa = ?
Let point (x1, y1) on the curve
ay2 = x3
2ay ×
= 3x2
Normal -
Equal intercept
3x21 = + 2ay1 ..... (1)
point lies on curve ay21 = x31 ..... (2)
solve (1) and (2)
x1 =
Let point (x1, y1) on the curve
ay2 = x3
2ay ×
= 3x2Normal -
Equal intercept
3x21 = + 2ay1 ..... (1)
point lies on curve ay21 = x31 ..... (2)
solve (1) and (2)
x1 =
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