To solve this problem, we need to evaluate both the Assertion (A) and Reason (R) given in the question.
Assertion (A): Melting point of Boron (2453 K) is unusually high in group 13 elements.
Reason (R): Solid Boron has a very strong crystalline lattice.
Given this logical analysis, both the assertion and the reason are correct, and the reason correctly explains the assertion.
The correct answer is: Both (A) and (R) are correct and (R) is the correct explanation of (A).
Let $\alpha,\beta\in\mathbb{R}$ be such that the function \[ f(x)= \begin{cases} 2\alpha(x^2-2)+2\beta x, & x<1 \\ (\alpha+3)x+(\alpha-\beta), & x\ge1 \end{cases} \] is differentiable at all $x\in\mathbb{R}$. Then $34(\alpha+\beta)$ is equal to}
