Gemma Wilkinson, a former charity worker, took legal action in an attempt to force Anjum to reveal the whereabouts of her daughter Atiya.
Anjum, who represented himself at the latest court hearing, indicated that Atiya was in Pakistan or Iran but said he did not know her exact whereabouts.
Mr Justice Moor said he was sure Anjum was lying.
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Finnish media say several people have been wounded in a stabbing in the city of Turku in western Finland.
Longer spells of rain across eastern Scotland with a weather warning in place until 6pm.
Julian Cadman, who is thought to have dual British-Australian nationality, became separated from his mother who was injured in the attack.