- Home
- Standard 12
- Mathematics
1.Relation and Function
normal
If $y = 3[x] + 1 = 4[x -1] -10$, then $[x + 2y]$ is equal to (where $[.]$ is $G.I.F.$)
A
$76$
B
$61$
C
$107$
D
$67$
Solution
$\mathrm{y}=3[\mathrm{x}]+1=4[\mathrm{x}]-4-10$
$\Rightarrow 3[\mathrm{x}]+1=4[\mathrm{x}]-14$
$\Rightarrow[\mathrm{x}]=15$ ……..$(1)$
$\because \mathrm{y}=3[\mathrm{x}]+1=46$ ………$(2)$
$[\mathrm{x}+2 \mathrm{y}]=[\mathrm{x}+92]=[\mathrm{x}]+92=15+92=107.$
Standard 12
Mathematics