JEE Main20253 Apr 2025Morning ShiftMathematicsDeterminantsActual
If y(x)= | array ccc x & x & x+ x+1 27 & 28 & 27 1 & 1 & 1 array |, x R , then d^2 y d x^2 +y is equal to
Options
- A-1
- B28
- C27
- D1
Correct answer
A. -1
Step-by-step solution
aligned & C₃ C₃-C₁ & y(x)= | array ccc x & x & 1+ x 27 & 28 & 0 1 & 1 & 0 array | & y(x)=-(1+ x) & d y d x = x & d^2 y d x^2 = x & d^2 y d x^2 +y=-1 aligned