Question
Let a=3 2 and b= 1 5^ 1 / 6 6 . If x, y R are such that gathered 3 x+2 y= _a(18)^ 5 4 \\2 x-y= _b( 1080 ) gathered and then 4 x+5 y is equal to . ________.
JEE Advanced
Mathematics
Basic of Mathematics
2024
JEE Advanced 2024 (Paper 1)
JEE Advanced Mathematics Question (2024) — Solution
Options
- A. A
- B. B
- C. C
- D. D
Answer
A. A
Step-by-step solution
aligned & 3 x+2 y= _ 3 2 (3 2 )^ 5 2 = 5 2 \\ & 6 x+4 y=5 (1) aligned 2 x-y= _ 1 5^ 1 / 6 6 (5^ 1 6 6 )^3=-3 array ll & 2 x-y=-3 .....(2)\\ & equation (1) -(2) \\ & 4 x+5 y=8 array
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