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Question

The equation of the tangent drawn to the circle x2+y2=4 at the point whose polar coordinates are given by (2,π3) is 


A
x+3 y=2
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B
3 x+y=2
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C
x+3 y=4 
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D
3 x+y=4
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Solution

The correct option is D x+3 y=4 
The given point is given in polar form, so
(r,θ)=(2,π3)x=rcosθ,y=rsinθ(x,y)=(2cosπ3,2sinπ3)(x,y)=(1,3)

Given circle is x2+y2=4
Now, the equation of the tangent is 
xx1+yy14=0
x+3y4=0  

Mathematics

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