{"id":159,"date":"2021-02-22T15:30:08","date_gmt":"2021-02-22T10:00:08","guid":{"rendered":"https:\/\/wordpress-505192-1602719.cloudwaysapps.com\/?p=159"},"modified":"2021-02-22T15:48:03","modified_gmt":"2021-02-22T10:18:03","slug":"samacheer-kalvi-10th-maths-chapter-3-ex-3-9","status":"publish","type":"post","link":"https:\/\/samacheerguru.com\/samacheer-kalvi-10th-maths-chapter-3-ex-3-9\/","title":{"rendered":"Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.9"},"content":{"rendered":"

You can Download Samacheer Kalvi 10th Maths Book Solutions<\/a> Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.<\/p>\n

Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.9<\/h2>\n

10th Maths Exercise 3.9 Samacheer Kalvi Question 1.<\/strong>
\nDetermine the quadratic equations, whose sum and product of roots are
\n(i) -9, 20
\n(ii) \\(\\frac{5}{3}\\), 4
\n(iii) \\(\\frac{-3}{2}\\), -1
\n(iv) -(2 – a)2<\/sup>, (a + 5)2<\/sup>
\nSolution:
\nIf the roots are given, general form of the quadratic equation is x2<\/sup> – (sum of the roots) x + product of the roots = 0.
\n(i) Sum of the roots = -9
\nProduct of the roots = 20
\nThe equation = x2<\/sup> – (-9x) + 20 = 0
\n\u21d2 x2<\/sup> + 9x + 20 = 0<\/p>\n

(ii) Sum of the roots = \\(\\frac{5}{3}\\)
\nProduct of the roots = 4
\nRequired equation = x2<\/sup> – (sum of the roots)x + product of the roots
\n= 0
\n\u21d2 x2<\/sup> – \\(\\frac{5}{3}\\)x + 4 = 0
\n\u21d2 3x2<\/sup> – 5x + 12 = 0<\/p>\n

(iii) Sum of the roots = (\\(\\frac{-3}{2}\\))
\n(\u03b1 + \u03b2) = \\(\\frac{-3}{2}\\)
\nProduct of the roots (\u03b1\u03b2) = (-1)
\nRequired equation = x2<\/sup> – (\u03b1 + \u03b2)x + \u03b1\u03b2 = 0
\nx2<\/sup> – (\\(\\frac{-3}{2}\\))x – 1 = 0
\n2x2<\/sup> + 3x – 2 = 0<\/p>\n

(iv) \u03b1 + \u03b2 = – (2 – a)2<\/sup>
\n\u03b1\u03b2 = (a + 5)2<\/sup>
\nRequired equation = x2<\/sup> – (\u03b1 + \u03b2)x – \u03b1\u03b2 = 0
\n\u21d2 x2<\/sup> – (-(2 – a)2<\/sup>)x + (a + 5)2<\/sup> = 0
\n\u21d2 x2<\/sup> + (2 – a)2<\/sup>x + (a + 5)2<\/sup> = 0<\/p>\n

 <\/p>\n

Ex 3.9 Class 10 Samacheer Question 2.<\/strong>
\nFind the sum and product of the roots for each of the following quadratic equations
\n(i) x2<\/sup> + 3x – 28 = 0
\n(ii) x2<\/sup> + 3x = 0
\n(iii) 3 + \\(\\frac{1}{a}=\\frac{10}{a^{2}}\\)
\n(iv) 3y2<\/sup> – y – 4 = 0<\/p>\n

(i) x2<\/sup> + 3x – 28 = 0
\nAnswer:
\nSum of the roots (\u03b1 + \u03b2) = -3
\nProduct of the roots (\u03b1 \u03b2) = -28<\/p>\n

(ii) x2<\/sup> + 3x = 0
\nAnswer:
\nSum of the roots (\u03b1 + \u03b2) = -3
\nProduct of the roots (\u03b1 \u03b2) = 0<\/p>\n

(iii) 3 + \\(\\frac{1}{a}=\\frac{10}{a^{2}}\\)
\n3a2<\/sup> + a = 10
\n3a2<\/sup> + a – 10 = 0 comparing this with x2<\/sup> – (\u03b1 + \u03b2)
\nx + \u03b1\u03b2 = 0
\n\"10th<\/p>\n","protected":false},"excerpt":{"rendered":"

You can Download Samacheer Kalvi 10th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations. Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.9 10th Maths Exercise 3.9 Samacheer Kalvi Question 1. Determine the quadratic equations, whose sum and product […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","footnotes":""},"categories":[2],"tags":[],"blocksy_meta":"","jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts\/159"}],"collection":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/comments?post=159"}],"version-history":[{"count":0,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts\/159\/revisions"}],"wp:attachment":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/media?parent=159"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/categories?post=159"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/tags?post=159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}