Application of DerivativeHard
Question
All points on curve y2 = 4a 
at which tangents are parallel to the axis of x, lie on a
at which tangents are parallel to the axis of x, lie on a Options
A.circle
B.parabola
C.line
D.none of these
Solution
2y + 
= 4a + 4a cos 
= 0 ⇒ cos 
= - 1
⇒ sin
= 0
using given curve
y2 = 4a (x + 0)
y2 = 4ax, a parabola.
= 4a + 4a cos = 0 ⇒ cos = - 1⇒ sin
= 0using given curve
y2 = 4a (x + 0)
y2 = 4ax, a parabola.
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