Question

Q.32 If A1

, A2

be two arithmetic means between

1/3 and 1/24, then their values are-

(A) 7/72, 5/36 (B) 17/72, 5/36

(C) 7/36, 5/72 (D) 5/72, 17/72​

Answer 1

Answer:

Step-by-step explanation:

2.

(d) Because (60,18) = 6 does not divide 97, it follows that there are no

integral solutions of the Diophantine Equation.

(e) First 1402=2.701 and 1969 = 11. 179, and so (1402, 1969) = 1 divides

1, so by Theorem 3.23, there are infinitely many solutions. To find these

solutions note that by Euclidean Algorithm 1402(889) + 1969(-633) = 1.

Thus, I = 889 and y = -633 is a particular solution. All solutions are given

by

<= 10 + (b/d)n = 889+ 1969n , and y=yo - (a/d)n= -633 - 1402n

RESULT

(a) 2 = -22 +5n, and y= 11 – 2n.

(b) 1 = -300+ 13n, and y = 400 - 17n.

(c)2 = 21 + 2n , and y=-21 - 3n.

(d) No integral solutions.

(e) x = 889+ 1969n, and y=-633 - 1402n.