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
B
3 x+y=2
C
x+3 y=4
D
3 x+y=4

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+yy1−4=0 ⇒x+√3y−4=0  Mathematics

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