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Q.

A tangent of y2=12x makes an angle 60° with the line y=5x+4. then its equation

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a

y=5+3153x+3(153)5+3

b

y=5+3153x+3(153)53

c

y=53153x+3(1+53)53

d

y=5+31+53x3(1+53)5+3

answer is A.

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Detailed Solution

Let Equation  of tangent  is y=mx+3m
Now tan600=m51+5m,
m5+3153,531+53,
tangents are y=531+53x+31+5353 and 
y=5+31-53x+31-535+3

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