JEE Advanced · Chemistry · 29. Biomolecules

The correct statement(s) about the following sugars $X$ and $Y$ is (are)

A $X$ is a reducing sugar and $Y$ is a non-reducing sugar
B $X$ is a non-reducing sugar and $Y$ is a reducing sugar
C the glucosidic linkages in $X$ and $Y$ are $\alpha$ and $\beta$, respectively
D the glucosidic linkages in $X$ and $Y$ are $\beta$ and $\alpha$, respectively

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(C) the glucosidic linkages in $X$ and $Y$ are $\alpha$ and $\beta$, respectively

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Detailed explanation

$X$ has acetal linkage and $Y$ has hemiacetal linkage. Carbohydrate with hemiacetal linkage are reducing sugars and carbohydrate with acetal linkage are non reducing sugars.
$X$ is $\alpha$ anomer and $Y$ is $\beta$-anomer of $D(+)$ glucose.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Let

ℓ_{1}

and

ℓ_{2}

be the lines

{\vec{r}}_{1} = λ (\hat{i} + \hat{j} + \hat{k})

and

{\vec{r}}_{2} = (\hat{j} - \hat{k}) + μ (\hat{i} + \hat{k})

, respectively, Let

X

be the set of all the planes

H

that contain the line

ℓ_{1}

. For a plane

H

, let

d (H)

denote the smallest possible distance between the points of

ℓ_{2}

and

H

. Let

H_{0}

be a plane in

X

for which

d (H_{0})

is the maximum value of

d (H)

H

varies over all planes in

X

. Match each entry in List-I to the correct entries in List-II.

	List-I		List-II
$(P)$	The value of $d (H_{0})$ is	$(1)$	$\sqrt{3}$
$(Q)$	The distance of the point $(0, 1, 2)$ from $H_{0}$ is	$(2)$	$\frac{1}{\sqrt{3}}$
$(R)$	The distance of origin from $H_{0}$ is	$(3)$	$0$
$(S)$	The distance of origin from the point of intersection of planes $y = z, x = 1$ and $H_{0}$ is	$(4)$	$\sqrt{2}$
		$(5)$	$\frac{1}{\sqrt{2}}$

The correct option is

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The correct statement(s) about the following sugars \(X\) and \(Y\) is (are)

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