Even if a man cannot act up to the precepts of the Jain religion, he crosses the sea of pain and misery if he only believes this to be the only true religion in the world." Prakaran Ratnakar, Part 2:127
Are there any similar statements in hindu texts in which one cannot act upto dharma but just by believing something true , he/she get moksha?
No. Hindu texts do not say that just by believing one can attain moksha.
A schematic of how realization of the Ultimate Reality is attained is given. This will help make the whole picture clear.
Why don’t we experience the Ultimate Reality?
The impurities of the mind (lust, greed and anger) cause the problem.
The Gateway to hell
Lust, anger and greed – this triad leads to the destruction of man’s spiritual nature. They form the gateway to hell; they should be abandoned.
Gita 16.21
If a man is free from these three, the gateways to hell, he can work out his own good and reach the highest goal.
Gita 16.22
Mind causes both bondage and liberation
It is the view of wise men that the mind is the cause of both the bondage and liberation of embodied beings. If the mind is attached to the gunas of Prakriti and their products, it leads to bondage; but when it begins to feel delight and attraction for the Lord (Purusha), it leads to liberation. When the mind is freed from the impurities of lust and greed generated by the sense of ‘I’ and ‘mine’, it attains to purity and rests in equanimity, being unaffected by pleasure or pain. Then the Jiva, endowed with knowledge, renunciation and devotion, experiences in truth the Supreme Spirit transcending Nature (Prakriti) – Kevala (untouched by anything), eternal, self-effulgent, subtle, indivisible and unconcerned – as well as Prakriti with all its binding power destroyed.
Srimad Bhagavata Purana III.25.15-18
How can one purify the mind?
Therefore, through enquiry one should understand that the spirit within is distinct and aloof from the body. Understanding this, one should deny the identification with the gross body, subtle body etc., one after another. The Teacher is the lower fire-stick, and the disciple the upper one. The churning stick introduced between them for producing fire is the instruction, and the fire produced, when churned, is the blissful illumination of knowledge arising from the instruction. The pure fire of spiritual illumination thus imparted to the disciple effaces all the bondages caused by the Gunas of Prakriti, as well as the Gunas themselves, before it subsides like the element fire that has exhausted the fuel. (That is, all modes of the mind (Vrittis), including that of knowledge, subside, and then there exists only Pure Consciousness unmodified and without subject-object relationship.)
Srimad Bhagavata Purana XI.10.11-13
The instruction from the Guru are the spiritual methods given by the Guru. Basically just as churning milk yields butter similarly churning the mind by meditation and japa of a mantra obtained from a Guru yields a pure mind. Of course one has to follow the yama and niyama principles of Yoga throughout life to benefit from spiritual practices.
What happens when one attains a purified mind?
By the growing delight in the service of the Supreme Mahavishnu, who holds the world-lotus in his navel, powerful devotion develops from strength to strength and destroys the impurities of the heart generated by the life of the body and the senses. When the heart is purified, the truth of the Atman shines in it, just as sunlight is apprehended by eyes that have through proper treatment, been cured of cataract or other diseases.
Srimad Bhagavata Purana XI.3.40
Mahavishnu is what this texts calls Brahman.
The fetters of the heart are broken, all doubts are resolved, and all works cease to bear fruit, when He is beheld who is both high and low.
Mundaka Upanishad II.ii.8
I know the Supreme Person of sun like color (lustre) beyond the darkness. Only by knowing Him does one pass over death. There is no other path for going there.
Svetasvatara Upanishad III.8