The polar equation of the straight line with intercepts a and b on the axes is
A
r(bcosθ+asinθ)=ab
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B
r(bcosθ−asinθ)=−ab
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C
r(acosθ+bsinθ)=−ab
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D
r(bcosθ−asinθ)=ab
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Solution
The correct option is Ar(bcosθ+asinθ)=ab Intercept form of equation of line in cartesian system is xa+yb=1 ⇒bx+ay=ab In polar form , x=rcosθ,y=rsinθ r(bcosθ+asinθ)=ab