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15 May 2019, 02:07
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If product of integers a and b is negative and sum of their squares is greater than 0 but less than 86, then what is the maximum value of ab?
- A. -42
B. -36
C. -18
D. -9
E. -1
15 May 2019, 04:31
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chaitanya2402
a x b < 0 i.e either a or b is -ve.
0<a^2 + b^2<86
The square neartest to 86 is 81 (9^2).
If one of the variable is 9 then other one must be smallest and 1.
Possible combinations are 9,-1 or -9,1 eitherway their product is -9.
IMO D.
If product of integers a and b is negative and sum of their squares is greater than 0 but less than 86, then what is the maximum value of ab?0<a^2 + b^2<86
The square neartest to 86 is 81 (9^2).
If one of the variable is 9 then other one must be smallest and 1.
Possible combinations are 9,-1 or -9,1 eitherway their product is -9.
IMO D.
Hey what if I consider two integers 1 & -1.
0<1^2 + (-1)^2<86
ab= -1
-1 is greater than -9, hence maximum value.
General Discussion
15 May 2019, 02:13
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a x b < 0 i.e either a or b is -ve.
0<a^2 + b^2<86
The square neartest to 86 is 81 (9^2).
If one of the variable is 9 then other one must be smallest and 1.
Possible combinations are 9,-1 or -9,1 eitherway their product is -9.
IMO D.
0<a^2 + b^2<86
The square neartest to 86 is 81 (9^2).
If one of the variable is 9 then other one must be smallest and 1.
Possible combinations are 9,-1 or -9,1 eitherway their product is -9.
IMO D.
