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Q.

The points on the curve y=x3, the tangents at which are inclined at an angle of 600  to x− axis are

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a

(3−14,3−34),(−3−14,−3−34)

b

(3−12,3−25),(−3−13,−3−23)

c

(214,2−25),(−3−12,−3−12)

d

(3−14,3−34),(−313,−3−23)

answer is A.

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Detailed Solution

dydx=3x2⇒3=3x2⇒x=±  3−14,y=±  3−34 ∴  point=(3−14,3−34),(−3−14,−3−34)
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