Give reason for keeping the voltage across the thermistor constant
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Your presumption is incorrect. It’s a resistor. It behaves just like all other resistors — there is a relationship (called “Ohm’s law”) between its resistance, the voltage across it, and the current through it.
And I’m surprised none of the other answers mentioned another error in your question. With most thermistors (certainly the type normally used to measure temperature), the resistance decreases as temperature increases.
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Most things just called a "thermistor" exhibit decreased resistance with rising temperature. There are also such things as PTC (positive temperature coefficient) thermistors that exhibit the opposite effect. As you say, V = IR. If R goes down, the V will go down at the same I.
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