CHECK POINTS ON PARABOLA

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Q.1 Definition

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Q.2 Standard equation of the Parabola

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Q.3 Standard equation of the Parabola

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Q.4 Standard equation of the Parabola

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Q.5 Standard equation of the Parabola

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Q.6 Some other standard forms of Parabola

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Q.7 Some other standard forms of Parabola

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Q.8 Special form of Parabola (y – k)2 = 4a(x – h)=

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Q.9 Special form of Parabola (y – k)2 = 4a(x – h)

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Q.10 Special form of Parabola (y – k)2 = 4a(x – h)

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Q.11 Special form of Parabola (y – k)2 = 4a(x – h)

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Q.12 Special form of Parabola (y – k)2 = 4a(x – h)

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Q.13 Parametric equations of a Parabola

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Q.14 Position of a point and a Line with respect to a Parabola

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Q.15 Position of a point and a Line with respect to a Parabola

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Q.16 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.17 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.18 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.19 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.20 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.21 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.22 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.23 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.24 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.25 Equation of Tangent in Different forms, Point of intersection of Tangents at any two points on the Parabola a Director circle, Equation of Pair of Tangents from a point to a Parabola

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Q.26 Equations of Normal in Different forms, (1) Point form : (2) Parametric form: (3) Slope form: 5.1.11 Point of intersection of normals at any two points on the Parabola, Relation between 't1' and 't2' if Normal at 't1' meets the Parabola again at 't2'

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Q.27 Equations of Normal in Different forms, (1) Point form : (2) Parametric form: (3) Slope form: 5.1.11 Point of intersection of normals at any two points on the Parabola, Relation between 't1' and 't2' if Normal at 't1' meets the Parabola again at 't2'

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Q.28 Equations of Normal in Different forms, (1) Point form : (2) Parametric form: (3) Slope form: 5.1.11 Point of intersection of normals at any two points on the Parabola, Relation between 't1' and 't2' if Normal at 't1' meets the Parabola again at 't2'

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Q.29 Equations of Normal in Different forms, (1) Point form : (2) Parametric form: (3) Slope form: 5.1.11 Point of intersection of normals at any two points on the Parabola, Relation between 't1' and 't2' if Normal at 't1' meets the Parabola again at 't2'

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Q.30 Equations of Normal in Different forms, (1) Point form : (2) Parametric form: (3) Slope form: 5.1.11 Point of intersection of normals at any two points on the Parabola, Relation between 't1' and 't2' if Normal at 't1' meets the Parabola again at 't2'

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Q.31 Co-normal Points, Circle through Co-normal points

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Q.32 Co-normal Points, Circle through Co-normal points

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Q.33 Equation of the Chord of contact of Tangents to a Parabolas, Equation of the Chord of the Parabola which is bisected at a given points, Equation of the Chord joining any two points on the Parabola s (1) Condition for the chord joining points having parameters t1 and t2 to be a focal chord: (2) Length of the focal chord:

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Q.34 Equation of the Chord of contact of Tangents to a Parabolas, Equation of the Chord of the Parabola which is bisected at a given points, Equation of the Chord joining any two points on the Parabola s (1) Condition for the chord joining points having parameters t1 and t2 to be a focal chord: (2) Length of the focal chord:

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Q.35 Equation of the Chord of contact of Tangents to a Parabolas, Equation of the Chord of the Parabola which is bisected at a given points, Equation of the Chord joining any two points on the Parabola s (1) Condition for the chord joining points having parameters t1 and t2 to be a focal chord: (2) Length of the focal chord:

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Q.36 Equation of the Chord of contact of Tangents to a Parabolas, Equation of the Chord of the Parabola which is bisected at a given points, Equation of the Chord joining any two points on the Parabola s (1) Condition for the chord joining points having parameters t1 and t2 to be a focal chord: (2) Length of the focal chord:

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Q.37 Diameter of a Parabola

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Q.38 Length of Tangent, Subtangent ,Normal and Subnormal

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Q.39 Length of Tangent, Subtangent ,Normal and Subnormal

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Q.40 Pole and Polar. Equation of polar: (1) Polar of the focus is directrix: (2) Any tangent is the polar of its point of contact: Coordinates of pole: Characterstics of Pole and Polar.(1) Conjugate points:(2) Conjugate lines:

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Q.41 Pole and Polar. Equation of polar: (1) Polar of the focus is directrix: (2) Any tangent is the polar of its point of contact: Coordinates of pole: Characterstics of Pole and Polar.(1) Conjugate points:(2) Conjugate lines:

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Q.42 Reflection property of a Parabola .

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