KCET2021MathematicsLimits
Consider the following statements Statement 1 : _ x 1 a x²+b x+c c x²+b x+a is 1 (where a+b+c 0 ). Statement 2: _ x 2 1 x + 1 2 x+2 is 1 4 .
Options
- AOnly statement 2 is true.
- BOnly statement l is true.
- CBoth statements 1 and 2 are true.
- DBoth statements 1 and 2 are false.
Correct answer
B. Only statement l is true.
Step-by-step solution
Statement 1 aligned & _ x 1 a x²+b x+c c x²+b x+a &= a 1+b 1+c c 1+b 1+a = a+b+c a+b+c =1 aligned Statement 1 is true. Statement 2 aligned &= _ x -2 1 x + 1 2 x+2 &= _ x -2 2+x x 2 &= _ x -2 1 x 2 = 1 (-2)(2) =- 1 4 aligned Statement 2 is false.