{"id":28672,"date":"2021-07-07T18:13:58","date_gmt":"2021-07-07T12:43:58","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=28672"},"modified":"2021-07-07T18:13:58","modified_gmt":"2021-07-07T12:43:58","slug":"ncert-solutions-for-class-10-maths-chapter-10-ex-10-1","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-10-ex-10-1\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1"},"content":{"rendered":"

These NCERT Solutions for Class 10 Maths<\/a> Chapter 10 Circles Ex 10.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1<\/h2>\n

\"NCERT<\/p>\n

Question 1.
\nHow many tangents can a circle have?
\nSolution:
\nThere can be infinitely many tangents to a circle.
\n\"NCERT<\/p>\n

Question 2.
\nFill in the blanks:
\n(i) A tangent to a circle intersects it in ………… point(s).
\n(ii) A line intersecting a circle in two points is called a ………… .
\n(iii) A circle can have parallel tangents at the most ………… .
\n(iv) The common point of a tangent to a circle and the circle is called ……….. .
\nSolution:
\n(i) One
\n(ii) Secant
\n(iii) Two
\n(iv) Point of contact.<\/p>\n

Question 3.
\nA tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is
\n(a) 12 cm
\n(b) 13 cm
\n(c) 8.5 cm
\n(d) \\( \\sqrt{199} \\) cm
\nSolution:
\nWe have given that PQ is a tangent of a circle whose centre is O are radius 5 cm. Length of OQ = 12 cm.
\n\"NCERT
\nWe know that, the tangent at any point of a circle is perpendicular to the radius through the point of contact.
\nOQ = 12 cm
\n\u2234 \u2220OPQ = 90\u00b0
\n[The tangent to a circle is perpendicular to the radius through the point of contact]
\nPQ2<\/sup> = OQ2<\/sup> – OP2<\/sup> [By Pythagoras theorem]
\nPQ2<\/sup> = 122<\/sup> – 52<\/sup> = 144 – 25 = 199
\n\u2234 PQ = \\( \\sqrt{199} \\) cm.
\nHence correct option is (d).<\/p>\n

Question 4.
\nDraw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
\nSolution:
\n\"NCERT
\nPQ is a tangent and LM a secant.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1 Question 1. How many tangents can a circle have? Solution: There can be infinitely many tangents to a circle. Question 2. …<\/p>\n

NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-10-maths-chapter-10-ex-10-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 10 Maths Chapter 10 Circles Ex 10.1 Questions and Answers are prepared by our highly skilled subject experts. 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