## Formulas and Results of Straight Lines

Consider two points $$P\left( {{x_1},{y_1}} \right)$$ and $$Q\left( {{x_2},{y_2}} \right)$$, then: 01. The distance formula \[\left| {PQ} \right| = \sqrt… Click here to read more

From basic to higher mathematics

Consider two points $$P\left( {{x_1},{y_1}} \right)$$ and $$Q\left( {{x_2},{y_2}} \right)$$, then: 01. The distance formula \[\left| {PQ} \right| = \sqrt… Click here to read more

01. The equation of a circle having the center at $$O\left( {0,0} \right)$$ and radius $$r$$ is \[{x^2} + {y^2}… Click here to read more

The formulas of tangent and normal to any curve at a given point are listed below. $${\left. {\frac{{dy}}{{dx}}} \right|_p}$$ is… Click here to read more

Here we list the equations of tangent and normal for different forms of a circle and also list the condition… Click here to read more

Here we list the equations of tangent and normal for different forms of a parabola. The euation of tangent to… Click here to read more

Here we list the equations of tangent and normal for different forms of ellipses. We also define parallel chords and… Click here to read more

Here we list the equations of tangent and normal for different forms of a hyperbola. The equation of tangent to… Click here to read more

Some important results and formulas regarding the polar equation of a conic are listed here. 1. The polar equation of a… Click here to read more

Some important results and formulas regarding the arc length of the curve are listed here. 1. The arc length for… Click here to read more

The results and formulas related to asymptotes are listed below. Asymptotes a. Obtain $${\phi _n}\left( m \right)$$ by putting $$x… Click here to read more

The commonly used results and formulas of curvature and radius of curvature are as shown below: 1. Curvature $${\rm K}$$… Click here to read more

1. $$A = \frac{1}{2}b \cdot h$$, where $$b$$ is the base and $$h$$ is the altitude of the triangle. 2. The… Click here to read more