Circle — Class 11 Maharashtra HSC Mathematics revision notes
A 5-page visual revision sheet for Circle, written for Class 11 Maharashtra HSC Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Circle sheet covers
- A Circle is a Locus
- The Three Forms
- standard
- centre-radius
- diameter, ends A(x_1,y_1), B(x_2,y_2)
- General Equation of a Circle
- general form
- centre and radius
- Parametric Form
- standard circle x^2+y^2=r^2
- centre (h,k)
- Tangent to a Circle
- at (x_1,y_1) on x^2+y^2=r^2
- at (x_1,y_1) on x^2+y^2+2gx+2fy+c=0
- condition of tangency for y=mx+c on x^2+y^2=a^2
- Tangents from an External Point, and the Director Circle
- Director Circle
- of x^2+y^2=a^2
- Circles touching externally
- Circles touching internally
- Disjoint circles
- Intersecting circles
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Circle the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.
More Mathematics Class 11 revision notes
- Angle and its Measurement
- Complex Numbers
- Conic Sections
- Continuity
- Determinants and Matrices
- Differentiation
- Functions
- Limits
- Measures of Dispersion
- Methods of Induction and Binomial Theorem
- Permutations and Combination
- Probability
- Sequences and Series
- Sets and Relations
- Straight Line
- Trigonometry - 1
- Trigonometry - 2