LIST-I | LIST-II | ||
|---|---|---|---|
| I | Aniline | P | Sodium fusion extract of the compound on boiling with FeSO4, followed by acidification with conc. H2SO4, gives Prussian blue color. |
| II | o-Cresol | Q | Sodium fusion extract of the compound on treatment with sodium nitroprusside gives blood red color. |
| III | Cysteine | R | Addition of the compound to a saturated solution of NaHCO3 results in effervescence. |
| IV | Coprolactam | S | The compound reacts with bromine water to give a white precipitate |
| T | Treating the compound with neutral FeCl3 solution produces violet color. | ||
I → P, Q; II → S; III → Q, R; IV → P
I → P ; II → R, S; III → R; IV → Q, S
I → Q, S; II → P, T; III → P; IV → S
I → P, S; II → T; III → Q, R; IV → P
: Blue colour in Lassign test due to presence of N
:Violet colour with FeCl3 due to presence of phenolic OH

: It gives blood red colour with NaSCN
Caprolactam:

: Blue colour in Lassign test due to presence of N
Aniline reacts with bromine water and gives a white precipitate (reaction with bromine water).
So, Aniline corresponds to S.
The fusion extract of o-Cresol on treatment with sodium nitroprusside gives a blood-red color.
This corresponds to Q.
Cysteine reacts with a saturated solution of NaHCO3 and gives effervescence due to the release of CO2.
This corresponds to R.
Coprolactam, when treated with neutral FeCl3, gives a violet color.
This corresponds to T.
The correct option is D: I → P, S; II → T; III → Q, R; IV → P

Let $ P(x_1, y_1) $ and $ Q(x_2, y_2) $ be two distinct points on the ellipse $$ \frac{x^2}{9} + \frac{y^2}{4} = 1 $$ such that $ y_1 > 0 $, and $ y_2 > 0 $. Let $ C $ denote the circle $ x^2 + y^2 = 9 $, and $ M $ be the point $ (3, 0) $. Suppose the line $ x = x_1 $ intersects $ C $ at $ R $, and the line $ x = x_2 $ intersects $ C $ at $ S $, such that the $ y $-coordinates of $ R $ and $ S $ are positive. Let $ \angle ROM = \frac{\pi}{6} $ and $ \angle SOM = \frac{\pi}{3} $, where $ O $ denotes the origin $ (0, 0) $. Let $ |XY| $ denote the length of the line segment $ XY $. Then which of the following statements is (are) TRUE?