Core concepts

• Distance formula and section formula.
• Equation of line in different forms.
• Circle equation and parameter interpretation.
• Parabola, ellipse and hyperbola basics.
• 3D point distance, direction ratios and direction cosines.

How to solve fast

• Draw quick rough sketch before equation work.
• Convert equation to standard form early.
• Mark slopes and intercepts to avoid sign errors.

Common mistakes

• Mixing standard forms of conics.
• Wrong distance formula substitution.
• Missing square terms while comparing circle equation.

Smart drill

Practice one mixed set daily:

• 2 line questions,
• 2 circle/conic questions,
• 1 three-dimensional question.