Class 11 Coordinate Geometry Handwritten Notes

The handwritten notes on Class 11 Applied Mathematics Chapter 12 Coordinate Geometry are prepared for fast 2026-27 revision. The PDF covers straight lines, slope, angle between lines, standard line forms, distance from a line, circle equations, diameter form, general circle form and the basic parabola forms used in applied mathematics problems.

• Best for formula recall: line, circle and parabola forms are placed in short printable pages.
• Aligned to 2026-27: follows the current Class 11 Applied Mathematics coordinate geometry scope.
• Exam ready: examples show how to choose the correct equation form before calculation.

Each Class 11 Applied Mathematics Coordinate Geometry handwritten notes PDF is checked against the 2026-27 NCERT chapter for formulas, examples and revision sequence.

Coordinate Geometry Handwritten Notes PDF Contents

Coordinate Geometry connects algebra with the Cartesian plane. A point becomes an ordered pair, a line becomes an equation and a curve becomes a relation between x and y. The handwritten notes begin with slope and inclination, then move to forms of a line, distance formula, circle forms and standard parabolas.

Straight Lines and Slope Formulas in Coordinate Geometry

The first revision target is the slope of a line. If two points are known, slope is the change in y divided by the change in x. If the angle of inclination is known, slope is tan theta. Once slope is clear, students can decide whether two lines are parallel, perpendicular or inclined at a specific angle.

For a line through one given point, use the point slope form. For a line through two given points, use the two point form. For a line that cuts both axes, use the intercept form. These choices save time because they place the given data directly into the equation.

• Parallel lines: equal slopes, so m1 = m2.
• Perpendicular lines: product of slopes is -1 when both slopes exist.
• Angle between lines: use the formula involving m1 and m2 only after noting the acute or obtuse angle asked.

Coordinate Geometry Revision Video

Source: Magnet Brains on YouTube

Circle Equations in Coordinate Geometry

A circle is the set of points at a fixed distance from a fixed point. The fixed point is the centre and the fixed distance is the radius. In the standard equation of a circle, students identify centre coordinates and radius before expanding. In the general equation, they complete the square or compare coefficients to recover the centre and radius.

The handwritten notes separate diameter form from centre radius form. If the end points of a diameter are given, the angle in a semicircle logic gives a direct equation. If the centre and radius are given, the standard form is faster and safer.

Parabola Focus Directrix and Latus Rectum

A parabola is the set of points whose distance from a fixed point equals the distance from a fixed line. The fixed point is the focus and the fixed line is the directrix. Class 11 Applied Mathematics uses the standard parabolas y squared = 4ax, y squared = -4ax, x squared = 4ay and x squared = -4ay.

In revision, students should connect each standard equation with its opening direction. If y squared is the squared term, the parabola opens left or right. If x squared is the squared term, the parabola opens up or down. The sign of a decides the side, while the magnitude of a controls focus, directrix and latus rectum length.

Coordinate Geometry Problem Flow for Applied Mathematics

Coordinate geometry questions become simpler when students read the given data first instead of hunting for a formula. If points are given, check slope or distance. If intercepts are given, use intercept form. If a point and line are given, distance from a line may be the required tool. If a conic equation is given, compare with standard form before writing the answer.

• Sketch axes and label known points before algebra.
• Keep signs visible while shifting from standard form to general form.
• Use a final substitution check when the answer is an equation.

How to Use Coordinate Geometry Handwritten Notes Before Tests

Use the coordinate geometry handwritten notes in three passes. First revise the straight line formula page and solve one slope-based example. Then revise circle forms and convert one general circle to standard form. Finally, revise the four standard parabolas with focus, directrix and latus rectum values.

The most useful last-minute habit is to make a formula choice map. Write what is given on the left and the likely formula on the right. This keeps line forms, circle forms and parabola forms from mixing with one another during the exam.

• Underline whether the question gives points, intercepts, centre, radius, focus or directrix.
• Write the selected formula before substitution.
• Check whether the final answer should be an equation, a distance, a point or a length.

Related Resources for Coordinate Geometry Class 11

Applied Mathematics Handwritten Notes for All Chapters