To stay in the hunt, the Capitals must also defeat the Lucknow SuperGiants in their last league match on May 14.
Returning to the action, Impact Player David Warner slog-swept left-arm spinner Swapnil Singh into the waiting hands of Will Jacks at deep after losing his place for over a month owing to a wrist injury.
The dismissal signaled the conclusion of the Capitals' disastrous run. In the opening delivery of the third over, left-arm pacer Yash Dayal (3/20) crushed Abhishek Porel, who was caught at covers by Lockie Ferguson.
Within the very next ball, Delhi was dealt a body blow. Jack-Fraser McGurk, who was in fine form after slamming Mohammed Siraj for two fours and a six in the second over, retreated too far when Shai Hope's straight drive struck the stumps after Dayal's outstretched left hand was misdirected.
As DC crashed to 30 for 4, Siraj trapped Kumar Kushagra, who replaced the suspended Rishabh Pant, plumb in front with a nip-backer.
Axar and optimism (29, 23b) jointly for 56 runs for the fifth wicket off 36 balls, although the pair gave the visitors more short-term comfort than lasting optimism.
While Pant was away, Axar gained leadership of DC and played helpful innings, but it did little more than postpone the inevitable.
The outing of Tristan Stubbs was the clearest example of how the other DC batters suffered by a fog of confusion.
Following Axar's defense of a length ball from Cameron Green, who quickly collected the ball and completed the simple task of hitting the stumps, Stubbs bolted from the non-striker's crease like a lion on the attack.
Earlier, Patidar rapid fifty was not capitalized upon by RCB, and they had to settle for a disappointing 187 for nine.
RCB overcome the early exits of captain Faf du Plessis and Virat Kohli by adding 88 runs off 53 balls for the third wicket with the efforts of Patidar (52, 32b, 3x4, 3x6) and Jacks (41, 29b, 3x4, 2x6).
The slice off pacer by Du Plessis McGurk consumed Mukesh Kumar in the vicinity of third man.
With a brilliant 27 off 13 balls, including two sixes off Ishant Sharma and one off Khaleel Ahmed, Kohli marked the start of yet another T20 masterclass (2/31).
However, a waft beyond the off-stump that required minimal footwork was enough to stump Abhishek Porel.
Still, RCB discovered Patidar in full swing. He never let up his early momentum after making an excellent cover-driven four off Mukesh for his first scoring attempt.
Patidar immediately showed his six-hitting skills, slamming Axar for two sixes and sending Kuldeep Yadav over long-on for a maximum. The grace eventually gave way to brutal fury.
The DC fielders were also quite helpful to Patidar. Five runs later, Axar grassed the right-hander off pacer Rasikh Salam after Hope had dropped him off Kuldeep at 42.
The left-arm wrist spinner was on the receiving end of Jacks' unrelenting speed as he showed his ability to score runs at the other end. Jacks was granted a reprieve on 19 by Axar off Kuldeep.
The partnership was about to take off when DC was able to seize the opportunity.
Axar made up for his past mistakes by ending Patidar's stay with a spectacular tumbling catch off Salam.
Jacks quickly trailed behind his teammate as Kuldeep's feeble slap ended up in Axar's clutches at the ring's edge.
