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Question Number 86198 by Rio Michael last updated on 27/Mar/20

$$\mathrm{any}\mathrm{methods}\mathrm{to}\mathrm{sketch}\mathrm{these}\mathrm{curves}$$$$\mathrm{r}=\mathrm{a}(1-\cos \theta )$$$$\mathrm{r}=\mathrm{a}+\mathrm{b}\cos \theta a>b$$$$\mathrm{r}=\mathrm{a}+\mathrm{bcos}\theta a<b$$

Commented by Prithwish Sen 1 last updated on 27/Mar/20

$$\mathrm{To}\mathrm{sketch}\mathrm{any}\mathrm{graph}\mathrm{you}\mathrm{have}\mathrm{to}\mathrm{keep}\mathrm{in}\mathrm{your}$$$$\mathrm{mind}\mathrm{the}\mathrm{following}\mathrm{things}$$$$\mathbf{i})\mathbf{Symmetry}:\mathbf{whether}\mathbf{the}\mathbf{graph}\mathbf{is}\mathbf{symmetric}$$$$\mathbf{respect}\mathbf{to}\mathbf{X},\mathbf{Y}\mathbf{axis}\mathbf{or}\mathbf{to}\mathbf{the}\mathbf{line}\mathbf{y}=\mathbf{x}\mathbf{or}\mathbf{to}\mathbf{the}$$$$\mathbf{origin}.$$$$\mathbf{ii})\mathbf{Intercept}:\mathbf{the}\mathbf{intercept}\mathbf{of}\mathbf{x}\mathbf{and}\mathbf{y}\mathbf{axes}$$$$\mathbf{iii})\mathbf{asymptotes}:\mathbf{whether}\mathbf{the}\mathbf{curve}\mathbf{has}\mathbf{any}\mathbf{asymptotes}$$$$\mathbf{iv})\mathbf{extension}\mathbf{or}\mathbf{range}\mathbf{of}\mathbf{the}\mathbf{curve}$$$$\mathbf{v})\mathbf{Any}\mathbf{special}\mathbf{point}$$$$\mathbf{Now}\mathbf{go}\mathbf{and}\mathbf{sketch}\mathbf{the}\mathbf{curve}.\mathbf{Good}\mathbf{luck}$$

Commented by Rio Michael last updated on 27/Mar/20

$$\mathrm{thanks}$$

Commented by Prithwish Sen 1 last updated on 27/Mar/20

$$\mathbf{welcome}$$

Commented by TANMAY PANACEA. last updated on 27/Mar/20

Commented by Rio Michael last updated on 27/Mar/20

$$\mathrm{what}\mathrm{book}\mathrm{is}\mathrm{that}\mathrm{sir}?$$

Commented by TANMAY PANACEA. last updated on 27/Mar/20

Commented by TANMAY PANACEA. last updated on 27/Mar/20

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