Let X={x∈ℕ:1≤ x≤19} and for some a,b∈ℝ, Y={ax+b:x∈ X}. If the mea… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 2Measures of Dispersion

Let $X=\{x\in\mathbb{N}:1\le x\le19\}$ and for some $a,b\in\mathbb{R}$ , $Y=\{ax+b:x\in X\}$ . If the mean and variance of the elements of $Y$ are $30$ and $750$ respectively, then the sum of all possible values of $b$ is

A
$60$
B
$80$
C
$100$
D
$20$

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