{"id":250,"date":"2020-09-07T06:05:24","date_gmt":"2020-09-07T00:35:24","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=250"},"modified":"2021-07-02T15:03:46","modified_gmt":"2021-07-02T09:33:46","slug":"kseeb-solutions-class-9-maths-chapter-1-ex-1-2","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-class-9-maths-chapter-1-ex-1-2\/","title":{"rendered":"KSEEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2"},"content":{"rendered":"

KSEEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2<\/strong> are part of KSEEB Solutions for Class 9 Maths<\/a>. Here we have given Karnataka Board Class 9 Maths Chapter 1 Number Systems Exercise 1.2.<\/p>\n

Karnataka Board Class 9 Maths Chapter 1 Number Systems Ex 1.2<\/h2>\n

Question 1.
\nState whether the following statements are true or false. Justify your answers.
\n(i) Every irrational number is a real number.
\nAnswer:
\nTrue. Because set of real numbers contain both rational and irrational number.<\/p>\n

(ii) Every point on the number line is of the form \\(\\sqrt{\\mathrm{m}}\\). where’m’ is a natural number.
\nAnswer:
\nFalse. Value of \\(\\sqrt{\\mathrm{m}}\\) is not netagive number.<\/p>\n

(iii) Every real number is an irrational number.
\nAnswer:
\nFalse. Because set of real numbers contain both rational and irrational numbers. But 2 is a rational number but not irrational number.<\/p>\n

Question 2.
\nAre the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rationed number.
\nAnswer:
\nSquare root of all positive integers is not an irrational number.
\nE.g. \\(\\sqrt{\\mathrm{4}}\\) = 2 Rational number.
\n\\(\\sqrt{\\mathrm{9}}\\) = 3 Rational number.<\/p>\n

Question 3.
\nShow how \\(\\sqrt{\\mathrm{5}}\\) can be represented on the number line.
\nAnswer:
\n\\(\\sqrt{\\mathrm{5}}\\) can be represented on number line:
\n\"KSEEB
\nIn the Right angled \u2206OAB \u2220OAB = 90\u00b0.
\nOA = 1 cm, AB = 2 cm., then
\nAs per Pythagoras theorem,
\nOB2<\/sup> =OA2<\/sup> + AB2<\/sup>
\n= (1)2<\/sup> + (2)2<\/sup>
\n= 1 + 4
\nOB2<\/sup> = 5
\n\u2234 OB = \\(\\sqrt{\\mathrm{5}}\\)
\nIf we draw semicircles with radius OB with ‘O’ as centre, value of \\(\\sqrt{\\mathrm{5}}\\) on number line
\n\\(\\sqrt{\\mathrm{5}}\\) = OM = +2.3
\nand \\(\\sqrt{\\mathrm{5}}\\) = ON = -2.3 (accurately).<\/p>\n

Question 4.
\nClassroom activity (Constructing the \u2018square root spiral\u2019): Take a large sheet of paper and construct the \u2018square root spiral\u2019 in the following fashion.
\n\"KSEEB
\nStart with a point O and draw a line segment OP1<\/sub> of unit length. Draw a line segment P1<\/sub>P22<\/sub> perpendicular to OP1<\/sub> of unit length (see fig.). Now draw a line segment P2<\/sub>P3<\/sub> perpendicular to OP2<\/sub>. Then draw a line segment P3<\/sub>P4<\/sub> perpendicular to OP3<\/sub>. Continuing in this manner, you can get the line segment Pn-1<\/sub>Pn<\/sub> by drawing a line segment of unit length perpendicular to OPn-1<\/sub>. In this manner, you will have created the points P2<\/sub>, P3<\/sub>, …………….. pn<\/sub>, …………… and joined them to create a beautiful spiral depicting \\(\\sqrt{2} \\cdot \\sqrt{3}, \\sqrt{4}, \\dots \\dots\\)
\nAnswer:
\nClassroom activity :
\n\"KSEEB
\ni) OA = 1 Unit, AB = 1 Unit, \u2220A = 90\u00b0,
\n\u2234OB2<\/sup> = OA2<\/sup> + AB2<\/sup>
\n= (1)2<\/sup> + (1)2<\/sup>
\n= 1 + 1
\nOB2<\/sup> = 2
\n\u2234OB = \\(\\sqrt{2}\\)
\nSimilarly, square root spiral can be continued.<\/p>\n

We hope the KSEEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 help you. If you have any query regarding Karnataka Board Class 9 Maths Chapter 1 Number Systems Exercise 1.2, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"

KSEEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.2 are part of KSEEB Solutions for Class 9 Maths. Here we have given Karnataka Board Class 9 Maths Chapter 1 Number Systems Exercise 1.2. Karnataka Board Class 9 Maths Chapter 1 Number Systems Ex 1.2 Question 1. State whether the following statements are …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/250"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=250"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/250\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=250"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=250"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=250"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}