Paddy Kenny had not picked the ball out of the home net for more than nine-and-a-half hours, but he had to make a double save early in the first half to extend his record by a few minutes.
Kenny probably should have held Chris Eagles' 20-yard drive but when he spilled the ball at the feet of Rodriguez, the keeper recovered superbly to palm his effort clear.
Burnley felt they should have had a penalty on the half-hour when Eagles tumbled under Clint Hill's challenge but referee Iain Williamson booked the Clarets winger, despite having earlier ignored when seemed like a dive by Taarabt.
But if that was the worst side of Taarabt's game, the mercurial Moroccan soon showed the best by lashing an unstoppable 25-yard curler past Lee Grant and into the top corner.
Rangers could soon have been two up but Rob Hulse and Alejandro Faurlin got in each other's way as they went for Taarabt's cross.
Instead, they allowed Burnley to draw level on the stroke of half-time when Kenny's goal was finally breached.
Connolly clumsily bundled Marney over in the area, Williamson this time pointed to the spot and Alexander duly obliged.
Rangers came closest to a winner in stoppage time when Smith curled inches wide and Derry crashed a shot over.
Burnley had their chances too, with Chris Iwelumo lashing his shot high over the bar and Rodriguez's toe-poke bouncing narrowly wide of Kenny's goal.
But even Rangers co-owner Bernie Ecclestone, on a rare Grand Prix-free weekend, had seen enough before the end as both sides settled for a point.
Live text and stats
Saturday, 30 October 2010
Alexander (pen) 45
13 Gorkss yellow card
07 Taarabt yellow card (Smith 82)
25 Ephraim (Agyemang 62)
12 Mackie yellow card
20 Hulse (Clarke 74)
04 Duff yellow card
02 Alexander yellow card
33 Eagles yellow card (Wallace 46)
09 Iwelumo (Thompson 83)
Ref: WilliamsonAtt: 15,620
Attempts on target
Attempts off target
90:00+5:31 The final whistle goes and the game is over.
90:00+3:57 Shaun Derry produces a right-footed shot from inside the area that goes over the bar.
90:00+2:47 Effort from the edge of the box by Tommy Smith goes wide of the right-hand upright.
90:00+1:35 Matthew Connolly produces a left-footed shot from just outside the box that misses to the right of the target.
90:00+0:45 Inswinging corner taken by Tommy Smith from the left by-line.
88:33 Jamie Mackie produces a right-footed shot from the edge of the box and misses to the right of the target.
87:04 Tyrone Mears gives away a free kick for an unfair challenge on Tommy Smith. Centre by Tommy Smith, Header from close in by
Clint Hill misses to the left of the goal.
86:15 Close range strike by Kaspars Gorkss goes over the bar.
85:34 Outswinging corner taken right-footed by Tommy Smith played to the near post, Tyrone Mears makes a clearance.
83:53 Kaspars Gorkss fouled by Clarke Carlisle, the ref awards a free kick. Jamie Mackie takes the direct free kick.
82:52 Substitution Steven Thompson replaces Chris Iwelumo.
81:49 Jamie Mackie concedes a free kick for a foul on Michael Duff. Lee Grant takes the free kick.
81:49 Substitution (QPR) makes a substitution, with Tommy Smith coming on for Adel Taarabt.
80:32 Unfair challenge on Michael Duff by Jamie Mackie results in a free kick. Direct free kick taken by Lee Grant.
80:32 Booking Jamie Mackie receives a caution for unsporting behaviour.
79:49 Jay Rodriguez produces a right-footed shot from deep inside the area which goes wide of the left-hand post.
76:45 Graham Alexander concedes a free kick for a foul on Adel Taarabt. The ball is swung over by Adel Taarabt, Headed effort from
close range by Patrick Agyemang goes wide left of the target.
76:45 Booking Graham Alexander is booked.
75:24 Chris Iwelumo produces a right-footed shot from inside the six-yard box that clears the bar.
73:21 Free kick awarded for an unfair challenge on Adel Taarabt by Michael Duff. Direct strike on goal from the free kick comes
in from Adel Taarabt, blocked by Clarke Carlisle.
73:21 Substitution Leon Clarke is brought on as a substitute for Rob Hulse.
73:21 Booking Michael Duff is shown a yellow card for unsporting behaviour.
70:04 Outswinging corner taken right-footed by Shaun Derry from the right by-line, Clarke Carlisle makes a clearance.
67:00 Kaspars Gorkss challenges Wade Elliott unfairly and gives away a free kick. Shot comes in from Ross Wallace from the free
kick, save by Patrick Kenny.
67:00 Booking Kaspars Gorkss booked.
66:03 Chris Iwelumo is caught offside. Patrick Kenny takes the indirect free kick.
65:11 Inswinging corner taken by Adel Taarabt from the left by-line, Kaspars Gorkss fouled by Chris Iwelumo, the ref awards a free
kick. Direct free kick taken by Patrick Kenny.
63:45 Free kick awarded for an unfair challenge on Clint Hill by Jay Rodriguez. Patrick Kenny takes the direct free kick.
61:27 Free kick awarded for a foul by Daniel Fox on Shaun Derry. Adel Taarabt crosses the ball from the free kick right-footed from
61:27 Substitution Patrick Agyemang replaces Hogan Ephraim.
59:38 Shot by Ross Wallace from just outside the area goes over the net.
58:11 Ross Wallace is caught offside. Patrick Kenny takes the indirect free kick.
54:44 Unfair challenge on Ross Wallace by Clint Hill results in a free kick. Free kick taken by Michael Duff.
53:37 Shot by Jay Rodriguez from deep inside the penalty area misses to the left of the target.
52:25 Free kick awarded for an unfair challenge on Alejandro Faurlin by Wade Elliott. Free kick crossed right-footed by Adel Taarabt.
51:05 Free kick awarded for an unfair challenge on Daniel Fox by Jamie Mackie. Free kick crossed by Daniel Fox, Lee Grant makes
47:11 Adel Taarabt fouled by Graham Alexander, the ref awards a free kick. Adel Taarabt crosses the ball from the free kick right-footed
from left channel, Graham Alexander makes a clearance.
45:01 The referee blows his whistle to start the second half.
45:01 Substitution Ross Wallace joins the action as a substitute, replacing Chris Eagles.
45:00+3:40 The players leave the pitch at half time.
45:00+1:15 Foul by Kaspars Gorkss on Chris Iwelumo, free kick awarded. Free kick taken by Graham Alexander.
44:58 Matthew Connolly challenges Dean Marney unfairly and gives away a Penalty.
44:58 GOAL - Graham Alexander:QPR 1 - 1 Burnley Graham Alexander scores a penalty. QPR 1-1 Burnley.
42:17 The referee penalises Adel Taarabt for handball. Daniel Fox takes the free kick.
42:17 Booking Caution for Adel Taarabt.
Correction - 41:18 Free kick awarded for a foul by Shaun Derry on Chris Eagles. Graham Alexander delivers the ball from the free kick right-footed
from left channel, Kaspars Gorkss makes a clearance.
41:18 Unfair challenge on Chris Eagles by Shaun Derry results in a free kick. The free kick is swung in right-footed by Graham Alexander,
clearance made by Kyle Walker.
40:11 Daniel Fox takes a shot. Blocked by Matthew Connolly. Inswinging corner taken right-footed by Graham Alexander played to the
near post, clearance by Shaun Derry.
38:32 Chris Eagles takes a shot. Save by Patrick Kenny.
33:50 Adel Taarabt fouled by Chris Eagles, the ref awards a free kick. The ball is delivered by Adel Taarabt, Effort from close
range by Jamie Mackie goes wide left of the target.
31:54 GOAL - Adel Taarabt:QPR 1 - 0 Burnley Adel Taarabt grabs a goal from outside the area to the bottom right corner of the goal. QPR 1-0 Burnley.
29:55 Kaspars Gorkss fouled by Chris Eagles, the ref awards a free kick. Direct free kick taken by Patrick Kenny.
29:42 Free kick awarded for an unfair challenge on Graham Alexander by Rob Hulse. Lee Grant takes the free kick.
29:14 Booking Chris Eagles is shown a yellow card for unsporting behaviour.
27:44 Unfair challenge on Wade Elliott by Adel Taarabt results in a free kick. Lee Grant takes the free kick.
25:28 The referee blows for offside. Free kick taken by Patrick Kenny.
25:01 Rob Hulse is caught offside. Clarke Carlisle takes the free kick.
23:33 Jay Rodriguez takes a shot and went wide left of the target.
22:34 Chris Eagles takes a shot. Patrick Kenny makes a save. Jay Rodriguez takes a shot. Patrick Kenny makes a save.
21:16 Wade Elliott takes a shot. Matthew Connolly gets a block in. Daniel Fox takes a inswinging corner from the right by-line to
the near post, Clint Hill makes a clearance.
20:41 Clarke Carlisle fouled by Rob Hulse, the ref awards a free kick. Lee Grant takes the free kick.
19:59 Unfair challenge on Alejandro Faurlin by Dean Marney results in a free kick. Patrick Kenny takes the free kick.
17:45 Dean Marney produces a left-footed shot from just outside the box that misses to the right of the net.
17:03 The referee blows for offside. Lee Grant takes the indirect free kick.
16:31 Shaun Derry takes a shot. Blocked by Clarke Carlisle.
13:58 Clint Hill challenges Chris Eagles unfairly and gives away a free kick. Daniel Fox crosses the ball from the free kick left-footed
from right channel.
10:18 Jamie Mackie is flagged offside by the assistant referee. Lee Grant takes the free kick.
8:16 Clint Hill concedes a free kick for a foul on Chris Eagles. Clarke Carlisle takes the direct free kick.
7:41 Short corner worked by Daniel Fox.
6:16 Tyrone Mears fouled by Kaspars Gorkss, the ref awards a free kick. Free kick crossed by Daniel Fox, Matthew Connolly makes
a clearance. Inswinging corner taken by Daniel Fox from the right by-line played to the near post, Patrick Kenny makes a clearance.
4:20 Free kick awarded for a foul by Rob Hulse on Michael Duff. Daniel Fox restarts play with the free kick.
3:38 Dean Marney takes a shot. Blocked by Kaspars Gorkss.
2:37 Corner taken right-footed by Adel Taarabt from the right by-line to the near post, Dean Marney makes a clearance.
2:08 Matthew Connolly fouled by Chris Iwelumo, the ref awards a free kick. Patrick Kenny takes the free kick.
0:00 The game gets underway.
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