If f(x)={\\begin{array}{ccc}a x^2-b x+2 & x&lt\ 3 \ b x^2-3 & \\\\\ x \geq 3\end{array}. is differentiable at every x \in \mathbb{R}, then the area (in sq units) of the triangle formed by the line \frac{x}{a}+\frac{y}{b}=1 with the coordinate axes is

AP EAPCET 18th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 64 of 160

Marks: +1, -0

If f(x)={

ax2−bx+2	x<3
bx2−3	‌‌x≥3

. is differentiable at every x∈ℝ, then the area (in sq units) of the triangle formed by the line ‌

+‌

=1 with the coordinate axes is

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