Polar equation of conic taking focus as pole. Polar equation of Parabola, Ellipse, Hyperbola.

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Rajkishor Patra (M.Sc Jadavpur University)
   / mathatozrkpatra  
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In this video contains details concepts of polar equation of conic with explanation. Equation of different types of conic in polar coordinate with derivation.

   • Polar equation of Circle with all special ...  
Link of Lecture -01(Polar equation of Circle)

   • Equation of Straight lines in polar coordi...  
Link of Lecture -01(Polar equation of straight lines)

   • Prove that the product of the perpendicula...  
Link of Lecture -04(Pair of straight lines)
   • Show that the condition that the bisectors...  
Link of Lecture -03(Pair of straight lines)
   • If the straight lines ax^2-2hxy+by^2=0 for...  
Link of Lecture -02(Pair of straight lines)
   • Homogeneous equation of second degree in x...  
Link of Lecture -01(Pair of straight lines)
   • Show that the discriminant of the quadrati...  
Link of Lecture -08(Transformation of coordinate axes)
   • Angle of rotation to remove xy term from t...  
Link of Lecture -08(Transformation of coordinate axes)
   • Find the angle of rotation about the origi...  
Link of Lecture -07(Transformation of coordinate axes)
   • Find the angle through which the axes must...  
Link of Lecture -06(Transformation of coordinate axes)
   • The origin is shifted to the point (3,-1) ...  
Link of Lecture -05(Transformation of coordinate axes)
   • Invariants in rotation of coordinate axes....  
Invarient expression in rotation with details explanation .(Lecture -04)

   • Matrix from of formula of transformation o...  
Matrix from of coordinate transformation formula.(Lecture -03)

   • Transformation of coordinate axes,General ...  
Derive different fromula of transformation of axes in two dimensions geometry.(2nd Lecture)

   • Formula of translation and rotation in geo...  
This is the 1st Lecture on derivation of formula of transformation of coordinate.

   • Show that the two straight lines through o...  
This video contains solution of a problem from the exercise of pair of straight line (Ghosh and Chakraborty: Analytical geometry) Problem:16 Exercise II(A)

   • Show that the triangle formed by straight ...  
This video contains solution of a problem from the exercise of pair of straight line (Ghosh and Chakraborty: Analytical geometry) Problem:8 Exercise II(A)

   • Show that the area of the triangle formed ...  
This video contains solution of a problem from the exercise of pair of straight line (Ghosh and Chakraborty: Analytical geometry) Problem:7

   • Show that the straight lines (A^2-3B^2)x^2...  
This video contains solution of a problem from the exercise of pair of straight line (Ghosh and Chakraborty: Analytical geometry) Problem:2

   • PAIR OF STRAIGHT LINE(GEOMETRY OF TWO DIME...  
This video contains solution of a problem from the exercise of pair of straight line (Ghosh and Chakraborty: Analytical geometry) Problem:1

   • PEDAL EQUATION OF RECIPROCAL SPIRAL (DIFFE...  
This video contains the deduction of pedal equation of reciprocal sprial.

   • PEDAL EQUATION OF LAMNISCATE FROM POLAR  
This video contains the deduction of pedal equation of LAMNISCATE.

   • PEDAL EQUATION OF PARABOLA FROM POLAR EQUA...  
This video contains the deduction of pedal equation of parabola from polar equation of parabola.

   • PEDAL EQUATION OF CARDIOID FROM POLAR  
This video contains the deduction of pedal equation of cardioid from polar equation.

   • PEDAL EQUATION FROM CERTESIAN AND POLAR EQ...  
This video contains the concept of pedal equation. How to convert CERTESIAN to pedal and polar to pedal.

   • Relation between p, r  and theta  in Diffe...  
This video contains the of an important relation of differential calculus (relation of p,r theta)

   • POLAR SUBTANGENT, SUBNORMAL, TANGENT, NORM...  
Proof of formula of polar Subtangent, Subnormal, Tangent, Normal.

   • Angle between tangent and radius vector.(D...  
This video contains proof of three Relation among angle between tangent and radius vector, angle between initial line and radius vector, radius vector, arc length. Angle syi, phi,and theta.

   • Length of Tangent, Normal, Subtangent,Subn...  
Length of Tangent, Normal, Subtangent of, Subnormal in Cartesian coordinate.

   • PROBABILITY DISTRIBUTION (RANDOM VARIABLE ...  
Five MCQ based on continuity . Answer with explanation.    • COMPETITIVE MATH(MCQ,REAL ANALYSIS)  
2DGeometry( Pair of straight line)Part :2

   • MCQ(COMPETITIVE MATHEMATICS) FROM DIFFEREN...  
Ten mcq with its answer together with its explanation different area .

   • 2D GEOMETRY (TRANSFORMATION OF COORDINATE,...  
Important MCQ on 2DGeometry(Transformation of coordinate and Pair of straight line.

   • REAL ANALYSIS (DIFFERENTIAL CALCULAS)MCQ C...  
Important MCQ on Differential calculas with explanation(Part:2)

   • REAL ANALYSIS (DIFFERENTIAL CALCULAS)MCQ C...  
Important MCQ on Differential caPart:1)

   • SCHOOL SERVICE ,M.Sc ENTRANCE (ABSTRACT AL...  
(important question of Abstract algebra)