The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.

t18=t1+17×d t14=t1 +13×d solving the two equtaions, t18-t14= 4d subtisting 4d=32 =  d=8

First Term of the AP (a) = 5 Common difference (d) = 8 - 5 = 3 Last term = a40 = a + (40 - 1) d = 5 + 39 × 3...

Given that \(\vec a, \vec b\) and \(\vec c\)are unit vectors. i.e., |\(\vec a\)| = |\(\vec b\)|  = |\(\vec c\)| = 1 And \(\vec a\) + \(\vec b\) + \(\vec c\) = \(\vec 0\) Then \((\vec a+\vec b+\vec c).(\vec a+\vec b+\vec c)=\vec 0.\vec...

Let the numbers be: a - 3d, a - d, a + d, a + 3d a - 3d + a - d + a + d + a + 3d...

Correct option is (D) 35/38 Let the second number be x. \(\therefore\) x + \((\frac{-8}{19})\) = \(\frac{1}{2}\) \(\Rightarrow\) x = \(\frac{1}{2}\) - \((\frac{-8}{19})\) = \(\frac{1}{2}\) + \(\frac{8}{19}\) \(=\frac{19+8\times2}{38}\) \(=\frac{19+16}{38}\) \(=\frac{35}{38}.\)

Correct Answer - 1,-1,2

Correct Answer - Domain ={1,2,3,……,20} Range={39,37,35,….,3,1} Relation is not reflexive, symmetric or transitive .

Let the numbers be ‘a’ and ‘b’  Given, sum of two numbers is 18. The sum of their reciprocals is 1/4  ⇒ a + b = 18  ⇒ b = 18 – a  Also,...

HCF of two numbers = 25  Product of two numbers = 1050  Let their LCM be x.  Using the formula, Product of two numbers = HCF × LCM  We conclude that,  1050 = 25 ×...