LIST I | LIST II | ||
A. | The maximum value of the function \(f(x)=25x-\frac{5x^2}{2}+7\) in [-1,6] is | I. | 24 |
B. | The minimum value of the function \(f(x)=2x^3-15x^2+36x+1\) in [1,5] is | II. | \(\frac{1}{16}\) |
C. | The maximum value of the function \(f(x)=\frac{x}{2}-x^2\) in [0,1] is | III. | \(\frac{139}{2}\) |
D. | The least value of the function \(f(x)=\frac{9}{x+3}+x\) in [-7,1], \(x\ne-3\) is | IV. | \(-\frac{37}{4}\) |
Define \( f(x) = \begin{cases} x^2 + bx + c, & x< 1 \\ x, & x \geq 1 \end{cases} \). If f(x) is differentiable at x=1, then b−c is equal to
List-I | List-II | ||
A | Megaliths | (I) | Decipherment of Brahmi and Kharoshti |
B | James Princep | (II) | Emerged in first millennium BCE |
C | Piyadassi | (III) | Means pleasant to behold |
D | Epigraphy | (IV) | Study of inscriptions |