Coordinate Geometry Formulas For Class 11

The below table provides all the important geometry formulas that is included in class 11 Syllabus. The formulas in the table ate  are frequently used in class 11 geometry to calculate areas, lengths and volumes. It is essential that the student be able to automatically apply the very basic formulas of elementary Analytic Geometry:

Coordinate Geometry & Lines Formulas for Class 11
Distance Formula \(\left | P_{1}P_{2} \right |=\sqrt{\left ( x_{2}-x_{1} \right )^{2}+\left ( y_{2}-y_{1} \right )^{2}}\)
Slope \(m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Point-Slope Form \(y-y_{1}=m\left ( x-x_{1} \right )\)
Point-Point Form \(y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\left ( x-x_{1} \right )\)
Slope-Intercept Form \(y=mx+b\)
Intercept-Intercept Form \(\frac{x}{a}+\frac{y}{b}=1\)
General Form \(Ax+By+C=0\)
Parallel & Perpendicular Lines \(Parallel \; m_{1}=m_{2}\)

\(Perpendicular \; m_{1}m_{2}=-1\)

Distance from a Point to a Line \(d=\frac{\left | Ax_{0}+By_{0}+C \right |}{\sqrt{A^{2}+B^{2}}}\)


Practise This Question

A glass of water at room temperature and a hot mug of coffee are placed on two tables inside a closed room. As the coffee cools down, what would happen to the temperature of the water?