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Mathematics Assignments & Worksheets For Class IX Chapter-wise mathematics assignment for class 09. Important and useful extra questions strictly according to the CBSE syllabus and pattern with answer key CBSE Mathematics is a very good platform for the students and is contain the assignments for the students from 9 th to 12 th standard. Here students can find very useful content which is very helpful to handle final examinations effectively. For better understanding of the topic students should revise NCERT book with all examples and then start solving the chapter-wise assignments. These assignments cover all the topics and are strictly according to the CBSE syllabus. With the help of these assignments students can easily achieve the examination level and can reach at the maximum height. Class 09 Mathematics Assignment Case Study Based Questions Class IX
Math Assignment Ch-10 Class X | Tangent to a circle
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Tangent to a Circle
Question 1: In the given figure the common tangents AB and CD to two circles intersect at E. Prove that AB = CD |
Question 2: PT and PQ are two tangents from external point P. If ∠PQT = 70o, Find ∠x |
Question 3 |
Question 4 PQ and PR are tangents, SR ∥ PQ, ∠P = 30o then, Find ∠x [Ans 30o]
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Question 5 CP, CQ and AB are three tangents to the circle. If CP = 11 cm, BR = 4 cm. Then a) Find BC [Ans 7 cm] b) Prove that : CP = (1/2) ✕ Perimeter of ABC c) Find the perimeter of the ABC [Ans 22 cm] d) Prove that : CA + AR = CB + BR e) Prove that : AB = AP + BQ f) If AC = 4 cm, AB = 5 cm, BC = 6 cm, then find CP [Ans 7.5 cm] |
Question 6 For the given figure answer the following questions a) If AB = 10 cm, AR = 7 cm, and RC = 5 cm, find BC [Ans 8 cm] b) If AB = 8 cm, BC = 10 cm, CA = 12 cm, then find AP, BQ and CR [Ans 7 cm, 5 cm, 3 cm] c) If AB = 8 cm, BC = 7 cm, CA = 5 cm, find BQ [Ans 5 cm] d) If AB = 8 cm, BC = 7 cm , CA = 5 cm, find the radius of the incircle [Ans √3] e) If AB = AC then prove that BQ = CQ |
Question 7 In △OPQ, OP =OQ = PQ = 6 cm, then find angle ∠PTQ |
Question 8 |
Question 9 PQ is the chord of length 6 cm of a circle of radius 6 cm, TP and TQ are tangents to the circle at point P and Q respectively. Find ∠PTQ. Also find the length TP. Ans [120o , TP = √12 cm] |
Question 10 AP and BP are tangents. OA = 8 cm and OB = 5 cm. If AP = 15 cm, then find the length of BP. [Ans √264] |
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