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Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_30.1

Mathematics is an equally important section for  REETMPTET & DSSSB Exams and has even more abundant importance in some other exams conducted by central or state govt. Generally, there are questions asked related to basic concepts and Facts of the Properties of the circles.

To let you make the most of Mathematics section, we are providing important facts related to the Properties of the circles. At least 2-3 questions are asked from this topic in most of the teaching exams. We wish you all the best of luck to come over the fear of the Mathematics section.

How to Overcome Exam Fever, Especially When You Fear Maths

 

Properties of Circle Part 2

  • If a side of a cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_40.1

  • If two chords AB and CD interest internally or externally at a point, E, Then, AE × EB = CE × ED

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_50.1

  • If a secant and a tangent externally interested each other.

then, PT² × PB

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_60.1

  • AE is angle bisector of ∠ BAC then AB . AC + DE . AE = AE²

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_70.1

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  • If two chords AB and AC of a circle are equal, then the bisector of ∠ BAC passes through the center O of the circle. ∠ 1 = ∠ 2

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_80.1

Tangent: – A line meeting a circle in only one point is called a tangent.

  1. A tangent at any point of a circle is perpendicular to the radius through the point of contact.

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_90.1

i.e. If AB is a tangent at P, then OP  AB.

Practice REET Previous Year Maths Quiz For REET Exam Here

  1. The lengths of two tangent, drawn from and external point to a circle, are equal. i.e. AP = AQ

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_100.1

  1. The angle between a chord and a tangent drawn at end point of chord is equal respectively to the angle formed in the corresponding alternate segments.

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_110.1

Mathematics Study Notes For All Teaching Exams

  1. If two circles touch each other internally or externally the point of contact lies on the line joining their centres.

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_120.1

i.e. A, B and P are collinear.

Distance between their centres (d)

  • When touch internally, d = AP – BP
  • When touch externally, d = AP + BP
  1. Two circles externally touch each other at P. AB is direct common tangent (DCT) of the circles. If ∠ BAP = x then ∠ ABP = 90° – x

Properties Of Circle Part 2 : Download Mathematics Study Notes Free PDF For REET Exam_130.1

Remember, ∠ APB is always right angle .

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