You can't leave the input of an op amp open.
If you connect the NI op amp pin to ground, then the transistor should not conduct.
In that case collector voltage should equal the collector supply voltage
The circuit you have is typically called a constant-current source, with the collector current being proportional to the op amp input voltage with current equal to Vin / Remitter.
But you say "when i give a voltage of 1 to 10 v at the non inverting pin of the opamp the same voltage is reflected at the transistor collector."
That is not proper circuit operation.
The transistor should carry a current equal to the input voltage divided by 1k ohm, with the collector voltage being whatever that current will give.
For 150µA, the input voltage would only be 150µA * 1kΩ = 150mV.
So if your source is limited to 150µA, then anything above 150mV input, will saturate the transistor and give you the observed behavior.
What exactly does the collector load look like?
Saying it's 11V, 150µA source is not sufficient information.