Equation of a circle

When Centre lies on x-axis

$(1)\,\,\,\,\,$ ${(x-a)}^2 + y^2 = r^2$

$(2)\,\,\,\,\,$ $x^2 + y^2 -2ax + a^2 -r^2 = 0$

Learn proof of equation of a circle when centre lies on x-axis without touching $y$-axis.

When Centre lies on y-axis

$(1)\,\,\,\,\,$ $x^2 + {(y-b)}^2 = r^2$

$(1)\,\,\,\,\,$ $x^2 + y^2 -2by + b^2 -r^2 = 0$

Learn proof of equation of a circle when centre lies on y-axis without touching x-axis.

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Math Problems

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

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Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

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