Maths IIB — Last-Minute Revision
High-priority check for the night before and morning of the TS Inter 2nd Year Maths IIB board exam. Paper: 75 marks · 3 hours.
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Paper Pattern — Quick Recall
- •75 marks · 3 hours
- •Section A: ALL 10 VSAQs × 2 marks = 20 marks (compulsory)
- •Section B: Any 5 of 7 SAQs × 4 marks = 20 marks
- •Section C: Any 5 of 7 LAQs × 7 marks = 35 marks
- •Choose LAQs from your strongest chapters
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High-Yield Chapters
- •Integration — guaranteed LAQs (reduction formulae, partial fractions integration)
- •Circle and System of Circles — LAQ on tangent, radical axis
- •Differential Equations — variable separable and linear DE are LAQ favourites
- •Definite Integrals — properties questions are common SAQs
- •Parabola, Ellipse, Hyperbola — tangent and normal equation LAQs
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Key Formulae to Double-Check
- •General equation of circle and condition for it to be a circle
- •Standard parabola y² = 4ax — focus, directrix, latus rectum
- •Ellipse: x²/a² + y²/b² = 1 — eccentricity e = c/a, c² = a² - b²
- •Integration by parts formula — ILATE order
- •Linear DE: dy/dx + Py = Q — integrating factor e^∫P dx
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Common Mistakes to Avoid
- •For tangent to circle: substitute point, don't assume it lies on the circle
- •For ellipse, always check whether a > b or b > a before writing equation
- •For integration by parts, write v = ∫v dx clearly
- •Definite integral properties: make sure to substitute limits correctly
- •Differential equation — classify type before choosing method
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Exam-Day Checklist
- •Scan all 7 LAQs first, pick the 5 you can do completely
- •Allocate ~18 min per LAQ, ~8 min per SAQ, ~2 min per VSAQ
- •For integration problems, show substitution steps clearly
- •State the formula used before each calculation in conics problems
- •For definite integrals, write the property/symmetry you are applying