Agni V (India's latest and greatest ballistic missile) has a reported range of 7000km to 8000km (estimated). This is DF-31 range, not DF-31A or DF-31B/AG range which is well above 10,000km. Intercontinental should mean, intercontinental. DF-41, DF-5A/B etc these are proper intercontinental ranged missiles. But India considers Agni V its primary nuclear deterrence against China which is a bit of a strange thing because both nations have a no first use policy, therefore the concept of nuclear deterrence against the other simply doesn't make sense. What it is is deterrence against overwhelming conventional war resulting in existential threat to either. In such cases, there are no legitimate no first use policies that can be expected to remain without reform.
In some sort of nuclear exchange between the two for whatever failures of preventing that, India could launch about 50 warheads towards China using one or two dozen missiles that have the range to reach eastern China. China has now around 1000 warheads and estimated to have upwards of 2000 warheads by 2030. Thousands of SRBM, MRBM to IRBM and hundreds of ICBMs. SRBMs and MRBMs fired from Tibet can hit critical Indian targets whereas Indian missiles have to fly past Tibet to reach meaningful targets. China wouldn't need to spare a single ICBM to cover all of India.
Now comes the interceptors. China has thousands of land based (since no sea based are going to take part) midcourse and terminal phase interceptors - HQ-19, HQ-26, HQ-29, HQ-16 series, HQ-9 series, HQ-22, S-300 PMU series, S-400, HQ-17 series, and HQ-7 series. India has S-400, Akash, Akash NG, Spyder, and in time when they finish developing it also their QR-SAM and the two other SHORADs. For every AD missile India has, China has 30 if not more. India trains and exercises (firing off missiles) a few times per year and makes a big fuss about it every single time it tests just one of their in development SAMs. China fires dozens every week in training and exercises that even videos and pics make it to english based internet every few weeks. Plus the manufacturing capability of the two are simply not comparable. In the time it took India to launch 7 rockets for space programs, China does over 40. In the time it takes India to make 2 Vish class destroyers and 8 Kolkatas, China has made nearly 20 Type 052D and Type 055 + two carriers and over 20 Type 054A (over 20 times the tonnage). Comparing the missiles would show a further gap. Akash is something considered outdated by 1980s USSR standards. Akash NG is no HQ-22 or HQ-16. S-400 both have. India's SAM series are mostly SHORAD to HQ-16 ranged or HQ-22 ranged at most. The Indians have no domestic equivalents in service to ABM/BMD missiles and HQ-9.
China has many space based early warning in several different orbit types and spanning two full generations now. India has zero. Radars is an even bigger gap and anyone who's read through China's arsenal and developments over the last two decades understand the absolute chasm of difference there is between the two in EW and sensor technology. Bhakts will claim supremacy like usual with a few photos not realising for every type and generation they've finally put into prototype phase, China's done 10 and made hundreds over three generations. The difference between electronic and computing technology between the two is about as great as that between 1960 China and 2000 Japan. India essentially has nothing more than some token facade of being able to supply some relatively limited electronic equipment to its military.
Furthermore, China has tested and made xx megaton yield nukes and capable of making pretty much any yield thermonuclear weapon. India has tried to make a thermonuclear weapon in the past and during its test, it likely failed. Never has India tested thermonuclear weapon in the megaton yield range. Not even close. Their supposed thermonuclear test was still aiming at a xxx kiloton blast and they have never tested another device after that due to international agreements to stop detonations. By that point, US, China, Russia, France, and UK have all done enough thermonuclear tests to build good models on... plus they already have thermonuclear weapons. India never got to that threshold and without the models to develop on, it is doubtful they can produce similar yield levels for their weapons. After all, it is one of the poorest (and remain till this day) nations on earth and its priority then was deterrence (achieved) against neighbouring nuclear powers.
We often see internet indians celebrate their puny nuclear strength as if they desire to target China. Go to any youtube video of Agni V and they talk as if they have the ability to hurt China without being absolutely annihilated in return. For every little scratch India can impart on China in terms of nuclear war, China can atomise every inch of India and have enough left for a credible nuclear deterrence.