Manipal MET2021MathematicsBasics of Mathematics
y is the sum of three numbers, one of which is a constant, the 2nd varies as x and the 3rd varies inversely as x . The values of y at x=1,-1 and 3 are respectively 6,-4 and 8 . Then, y is equal to
Options
- A1+x- 1 x
- B1+2 x+ 3 x
- C2+x+ 1 x
- D2-x+ 1 x
Correct answer
B. 1+2 x+ 3 x
Step-by-step solution
y=a+k x+p / x array rlrl 6 & =a+k+p -4 &= a-k-p and 8 & =a+3 k+p / 3 6-1 & =k+p 5=k+p array On solving these equations, we get a=1, k=2, p=3 Required equation is y=1+2 x+ 3 x