With respect to the location of the capital of India the directions of Lucknow (Capital of Uttar Pradesh) and Jaipur (Capital of Rajasthan) respectively are

Correct option is B

The correct answer is South-East, South-West.
Direction is divided into 8 sections, 4 cardinal directions, and 4 ordinal directions.
 The four cardinal directions are the directions north, east, south, and west, commonly denoted
by their initials N, E, S, and W.
 East and west are perpendiculars (at right angles) to north and south.
 East is in the clockwise direction of rotation from north and west is directly opposite east.
 The ordinal directions are northeast (NE), southeast (SE), southwest (SW), and northwest
(NW).
 NE, SE, SW, NW lie in between the cardinal directions north and east, south and east, south and
west, and north and west respectively.
Thus, with respect to the location of the capital of India the directions of Lucknow (Capital of Uttar Pradesh) and Jaipur (Capital of Rajasthan) respectively are South East and South West.