Application of DerivativeHard
Question
Equation of the normal to the curve y = - √x + 2 at the point of its intersection with the curve y = tan (tan-1 x) is
Options
A.2x - y - 1 = 0
B.2x - y + 1 = 0
C. 2x + y - 3 = 0
D.none
Solution
y = tan(tan-1 x)
⇒ y = x
⇒ x = - √x + 2
√x = 1 ⇒ x = 1, y = 1
Slope of normal = 2
Equation of normal is 2x - y =1
⇒ y = x
⇒ x = - √x + 2
√x = 1 ⇒ x = 1, y = 1
Slope of normal = 2
Equation of normal is 2x - y =1
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