Episodes

  • Probability

    Probability
    Oct 12 2026
    Probability, Class 11 Mathematics NCERT Chapter 14: quick revision in Hindi, about 15 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Event and sample space - Types of events: impossible, sure, simple, compound - Algebra of events: union, intersection, complement - Mutually exclusive and exhaustive events - Three axioms of probability - Equally likely outcomes, P(E) = n(E)/n(S) - Addition theorem for P(A or B) - Probability of the complement, P(not A) Timestamps: 0:00 Introduction 0:23 Roadmap 0:57 Event and sample space 1:56 Mistake: possible vs. occurred 2:21 Types of events: impossible, sure, simple, compound 2:43 Algebra of events: union, intersection, complement 3:33 Mutually exclusive events 4:52 Exhaustive events and partitions 5:44 Mistake: mutually exclusive vs. exhaustive 6:06 Quick quiz 1 6:45 Three axioms of probability 8:17 Quick quiz 2 8:50 Equally likely outcomes formula 10:09 Addition theorem for P(A or B) 11:14 Mistake: forgetting to subtract intersection 11:34 Probability of the complement, not A 12:40 Mistake: assuming not A is always half 13:06 Quick quiz 3 13:52 One-minute recap The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    15 mins
  • Statistics

    Statistics
    Oct 12 2026
    Statistics, Class 11 Mathematics NCERT Chapter 13: quick revision in Hindi, about 15 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Why average alone is not enough: dispersion - Range as a measure of dispersion - Mean deviation about mean and median - Mean deviation for grouped data - Variance and standard deviation - Shortcut (step-deviation) method - Effect of shift and scale on variance - Coefficient of variation and correcting wrong observations Timestamps: 0:00 Introduction 0:22 Roadmap 0:54 Why mean alone is not enough: dispersion 1:38 Mistake 1: same mean does not mean same data 2:05 Range: the simplest measure of dispersion 3:02 Mean deviation: using every data point 3:50 Worked example: mean deviation about the mean 5:02 Mistake 2: forgetting the absolute value 5:25 Mean deviation for grouped data 6:08 Mistake 3: forgetting to multiply by frequency 6:29 Limitations of mean deviation 6:47 Variance and standard deviation explained 7:43 Mistake 4: confusing variance with standard deviation 8:07 Standard deviation for grouped data, shortcut method 8:57 Effect of shift and scale on mean and variance 10:16 Quick quiz 1 10:48 Mistake 5: thinking shift changes variance 11:09 Quick quiz 2 11:54 Combined data and coefficient of variation 12:30 Quick quiz 3 13:07 Correcting a wrong observation in mean and variance 13:42 Mistake 6: changing n when replacing an observation 13:58 One-minute recap Next chapter: Probability The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    15 mins
  • Limits and Derivatives

    Limits and Derivatives
    Oct 12 2026
    Limits and Derivatives, Class 11 Mathematics NCERT Chapter 12: quick revision in Hindi, about 15 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Derivative as instantaneous rate of change - Meaning of a limit (left-hand and right-hand) - Algebra of limits for polynomials and rational functions - The number e and the log(1+x)/x limit - Trigonometric limits and the Squeeze theorem - Derivative by first principle - Product, quotient, power and chain rule - Continuity and differentiability Timestamps: 0:00 Introduction 0:20 Roadmap 0:52 Derivative intuition: average vs instantaneous velocity 2:14 Mistake: average rate vs instantaneous rate 2:34 What a limit means: left-hand and right-hand limits 3:51 Mistake: limit vs the function's value at a point 4:08 Algebra of limits: polynomials and rational functions 5:17 Quick quiz 1 5:50 The number e and a related standard limit 6:27 Trigonometric limits: sin x/x and the Squeeze theorem 7:40 Mistake: radians, and sin ax/bx shortcuts 8:03 Quick quiz 2 8:33 Derivative by first principle 9:39 Derivative rules: sum, product and quotient rule 10:18 Mistake: product rule is not derivative times derivative 10:32 Power rule and standard trigonometric derivatives 11:20 Mistake: the minus sign in cos, cot, cosec derivatives 11:32 Chain rule, and derivatives of e^x and log x 12:08 Continuity and differentiability 13:06 Quick quiz 3 13:33 One-minute recap Next chapter: Statistics The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    15 mins
  • Introduction to Three Dimensional Geometry

    Introduction to Three Dimensional Geometry
    Oct 12 2026
    Introduction to Three Dimensional Geometry, Class 11 Mathematics NCERT Chapter 11: quick revision in Hindi, about 15 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Why 3D space needs three coordinates - Coordinate axes, planes and octants - Identifying the octant of a point - Coordinates of points on axes and planes - Distance formula between two points - Collinearity test using distances - Centroid of a triangle - Locus as a plane or a sphere Timestamps: 0:00 Introduction 0:20 Roadmap 0:45 Why we need three coordinates in space 1:30 Coordinate axes, planes and octants 2:21 How to identify the octant of a point 3:26 Common mistake: numbering the octants 3:48 Quick quiz 1 4:14 Coordinates of a point on an axis or plane 5:31 Common mistake: which coordinate is zero 6:05 Quick quiz 2 6:44 Distance formula in 3D 8:08 Distance formula worked example 9:10 Common mistake: sign errors in distance formula 9:37 Test for collinearity of three points 10:44 Centroid of a triangle in 3D 11:48 Locus: plane vs sphere 12:56 Quick quiz 3 13:27 One-minute recap Next chapter: Limits and Derivatives The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    15 mins
  • Ch 10 Conic Sections | Class 11 Mathematics in Hindi

    Ch 10 Conic Sections | Class 11 Mathematics in Hindi
    Oct 12 2026
    Conic Sections, Class 11 Mathematics NCERT Chapter 10: quick revision in Hindi, about 16 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - How a double-napped cone is formed - Plane angle and the four conic curves - Degenerate conics (point, line, intersecting lines) - Circle: definition and standard equation - Parabola: focus, directrix and standard equations - Latus rectum of a parabola - Ellipse: foci, a-b-c relation and eccentricity - Hyperbola: eccentricity and standard equations Timestamps: 0:00 Introduction 0:19 Roadmap 0:46 How a cone forms (axis, generator, vertex, nappes) 1:29 Plane angle and the four conic curves 2:24 Mistake: mixing up alpha and beta 2:49 Degenerate conics: point, line and intersecting lines 3:16 Circle and its standard equation 4:09 Mistake: forgetting to square the radius 4:43 Quick quiz 1 5:39 Parabola: focus and directrix 6:04 Four standard equations of a parabola 7:05 Latus rectum of a parabola 7:37 Mistake: confusing 2a with 4a 8:00 Quick quiz 2 8:48 Ellipse: the two-foci curve 9:32 Relation between a, b and c in an ellipse 10:05 Eccentricity and standard equations of an ellipse 11:07 Mistake: a squared is not always under x 11:26 Fully solving an ellipse example 11:58 Hyperbola: where the difference is constant 12:35 Eccentricity and equations of a hyperbola 13:38 Mistake: ellipse vs hyperbola a, b, c relations 14:08 Quick quiz 3 14:50 One-minute recap Next chapter: Introduction to Three Dimensional Geometry The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    16 mins
  • Straight Lines

    Straight Lines
    Oct 12 2026
    Straight Lines, Class 11 Mathematics NCERT Chapter 9: quick revision in Hindi, about 16 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Inclination and slope of a line - Slope from two points - Parallel and perpendicular lines - Angle between two lines - Equations of a line: point-slope, two-point, slope-intercept, intercept form - Distance of a point from a line - Distance between two parallel lines Timestamps: 0:00 Introduction 0:21 Roadmap 0:48 Quick recap of coordinate geometry 1:12 Inclination and slope of a line 2:15 Mistake: measuring inclination from wrong side 2:37 Slope from two points 3:45 Mistake: flipping subtraction order in slope 4:07 Quick quiz 1 4:51 Parallel and perpendicular lines 6:01 Angle between two lines 7:12 Mistake: forgetting absolute value in angle formula 7:35 Equations of horizontal and vertical lines 8:35 Point-slope and two-point form 9:53 Slope-intercept and intercept form 10:57 Quick quiz 2 11:41 Distance of a point from a line 12:55 Distance between two parallel lines 13:32 Mistake: not matching coefficients before using formula 14:07 Quick quiz 3 14:52 One-minute recap Next chapter: Conic Sections The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    16 mins
  • Sequences and Series

    Sequences and Series
    Oct 12 2026
    Sequences and Series, Class 11 Mathematics NCERT Chapter 8: quick revision in Hindi, about 16 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Sequences: terms and the general term - Recurrence relations and the Fibonacci sequence - Series and the sum of a series - Arithmetic Progression (A.P.) revision - Geometric Progression (G.P.): common ratio and general term - Sum of n terms of a G.P. - Geometric Mean (G.M.) and Harmonic Progression (H.P.) - A.M.-G.M. inequality Timestamps: 0:00 Introduction 0:23 Roadmap 0:56 What is a sequence: terms, general term, finite and infinite 1:52 General term formula and recurrence relations (Fibonacci) 2:54 Common mistake: confusing term number n with term value 3:23 Series vs sum of the series 4:09 Quick quiz 1 4:46 Arithmetic Progression (A.P.) quick revision 5:23 Geometric Progression (G.P.) and common ratio 6:26 Common mistake: mixing up A.P. and G.P. properties 6:45 General term of a G.P.: a_n = ar^(n-1) 7:40 Common mistake: writing ar^n instead of ar^(n-1) 8:06 Quick quiz 2 8:59 Sum of n terms of a G.P.: deriving the formula 10:15 Common mistake: G.P. sum when r = 1 and negative ratio 10:44 Geometric Mean (G.M.) of two numbers 11:43 Harmonic Progression (H.P.) and harmonic mean 12:06 Proof that A.M. is always greater than or equal to G.M. 13:25 Common mistake: A.M.-G.M. inequality on negative numbers 13:48 Quick quiz 3 14:39 One-minute recap Next chapter: Straight Lines The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    16 mins
  • Binomial Theorem

    Binomial Theorem
    Oct 12 2026
    Binomial Theorem, Class 11 Mathematics NCERT Chapter 7: quick revision in Hindi, about 15 minutes, with quick quizzes and a one-minute recap. Free NCERT notes, flashcards and practice: https://padhaipaglu.com In this episode: - Expanding binomials like (a+b)^n - Patterns in binomial expansion - Pascal's Triangle for coefficients - Binomial theorem general formula with combinations - Worked example: (x+1)^6 expansion - Special cases: (x-y)^n, (1+x)^n, (1-x)^n - Real-world uses: estimating powers and divisibility proofs Timestamps: 0:00 Introduction 0:25 Roadmap 0:53 What is binomial expansion 2:06 Three patterns in binomial expansion 3:13 Mistake: n terms vs n+1 terms 3:48 Quick quiz 1 4:19 Pascal's Triangle and coefficients 5:48 Mistake: forgetting the edge 1s 6:12 General formula using combinations (nCk) 7:28 Mistake: confusing k with term number 8:02 Worked example: expanding (x+1)^6 9:05 Special cases: (x-y)^n, (1+x)^n, (1-x)^n 10:41 Mistake: forgetting alternating signs 11:17 Quick quiz 2 11:59 Fun applications of the binomial theorem 13:04 Quick quiz 3 13:48 One-minute recap Next chapter: Sequences and Series The narration is AI-generated (a synthetic voice, not a real person's). Chapter content follows the NCERT syllabus.
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    15 mins