NDA2011MathematicsTrigonometric Ratios & IdentitiesActual
If A=1 / 2 and B=1 / 3 , then what is the value of 4 ~A +4 ~B ?
Options
- A/ 4
- B/ 2
- C2
Correct answer
C. 2
Step-by-step solution
A = 1 2 , ~B = 1 3 (A+B)= A+ B 1- A B = 1 2 + 1 3 1- 1 2 1 3 = 5 6 5 6 aligned ( A + B ) & =1 ( ~A + B ) & = 4 ~A + B & = 4 4( ~A + B ) & = 4 4 4 ~A +4 ~B & = . aligned