Let the numbers 2 ,   b ,   c be in an A.P. and A = 1 1 1 2 b c 4 b 2 c 2 . If d e t ( A )   ∈ [ 2,16 ] , then c lies in the interval:

Question

Let the numbers 2 , &#160; b , &#160; c be in an A.P. and A = 1 1 1 2 b c 4 b 2 c 2 . If d e t ( A ) &#160; &#8712; [ 2,16 ] , then c lies in the interval:

Aicharya · Accepted Answer

1 1 1 2 b c 4 b 2 c 2 &#8594; C 2 &#8594; C 2 - C 1 , &#160; C 3 &#8594; C 3 - C 1 1 0 0 2 b - 2 c - 2 4 b 2 - 4 c 2 - 4 = b - 2 c - 2 c - b Let common difference of A P = d &#8756; &#8201; b = 2 + d , &#160; &#160; &#160; c = 2 + 2 d A = d &#215; 2 d &#215; d = 2 d 3 &#8712; 2 , &#160; 16 &#8658; d 3 &#8712; 1 , &#160; 8 &#8658; d &#8712; 1 , &#160; 2 &#8658; 2 d &#8712; 2 , &#160; 4 &#8658; 2 + 2 d &#8712; 4 , &#160; 6 &#8756; &#8201; c &#8712; 4 , &#160; 6

Let the numbers 2 ,   b ,   c be in an A.P. and A = 1 1 1 2 b c 4 b 2 c 2 . If d e t ( A )  …

Solution

Let the numbers 2 , &#160; b , &#160; c be in an A.P. and A = 1 1 1 2 b c 4 b 2 c 2 . If d e t ( A ) &#160;…

Solution

Let the numbers 2 , b , c be in an A.P. and A = 1 1 1 2 b c 4 b 2 c 2 . If d e t ( A ) …